Irregular Polygon Definition

Irregular Polygon Definition An irregular polygon can be defined as a polygon having the length of all its sides not equal to each other. In an irregular polygon the interior angles are not equal to each other. Irregular polygons can be categorized into following two types: Convex irregular polygon: They have all their interior angles less than 180 degree. Concave irregular polygon: They can have some of their interior angles greater than 180 degree. Example 1: Identify if the polygon given in the options below irregular or not and give reasons for your answer: a) Polygon ABCDEF with AB = 6 cm, BC = 6 cm, CD = 7 cm, DE = 5 cm, EF = 5 cm, FA = 7 cm. b) Polygon PQRST with angle P = 75 degree, angle Q = 75 degree, angle R = 75 degree, angle S = 75 degree, angle T = 75 degree. Solution: a) Since the length of all the side of the given polygon are not equal, so this polygon is irregular polygon. Example 2: Write whether the polygon given below is a convex irregular polygon or concave irregular polygon. Give reasons for your answer. Polygon DEFGH with angle D = 160 degree, angle E = 85 degree, angle F = 90 degree, angle G = 205 degree, angle H = 110 degree. Solution: The given polygon is a concave irregular polygon. In a concave irregular polygon at least one interior angle is greater than 180 degree. Here angle G is greater than 180 degree. Thus the given polygon can be classified as a concave irregular polygon.

SAT Scores Online SAT Prep Online Tutoring Tutorpace

SAT Scores Online SAT Prep Online Tutoring Tutorpace Scholastic Assessment Test, also popularly known as SAT is a standardized and recognized assessment test for high school students. Students who wish to study in colleges and universities after high school take SAT so that they get enrolled to start their college life in the United States. SAT test paper examines students knowledge and skills in 3 main sections: Critical Reading, Mathematics and Writing. The questions range from easy to medium to difficult level. The main purpose of this exam is to prepare students to take up college level courses and SAT scores are required by most colleges and universities as they can analyze the students academic knowledge. Some colleges prefer students scores in specific subjects and in those cases; students can take the SAT Subject tests. These subject tests examine the students level of knowledge in specific subjects only. In SAT exam, there is negative penalty for giving wrong answers to the multiple choice questions. Therefore it is recommended for the students not to guess many answers as wrong answers simply deduct points from the existing score. After the test, SAT scores are provided to the student and the students respective high school nearly after 5 weeks of taking the test. During registration for the test, students can choose the option of getting the score reports online as well as getting the paper score report through mail. If a student does not have an online College Board account, then the student will receive the paper score report through mail.

An Introduction to Moving to Italy

An Introduction to Moving to Italy Our Advice for Living in Italy ChaptersWhy Move to Italy?The Official Documents Necessary for Living in ItalyLearning Italian for Moving to ItalyHow Can You Budget for Living in Italy?Travelling to Italy is fun, but living there is even better!If you’ve planned on living it Italy, here’s some ardvice for you!Before you set off, you need to plan for your future in the country. It doesn’t matter which Italian town or city you’ve decided to move to, be it in the north or the south, you’ll need to be aware of the processes required to settle in your new country.In this article, Superprof is looking at how to get settled in Italy, why you should move there, administrative steps (such as visas and residency certificates), how to learn Italian, and how much it’ll cost you.After you’ve read all our articles on it, you’ll be ready. Let’s go! DanielaItalian Teacher 5.00 (9) £50/h1st lesson free!Discover all our tutors LuciaItalian Teacher 5.00 (4) £17/h1st lesson free!Discover all our tutors MarilùIta lian Teacher 5.00 (8) £22/h1st lesson free!Discover all our tutors MarcoItalian Teacher £15/h1st lesson free!Discover all our tutors AntonellaItalian Teacher 5.00 (2) £14/h1st lesson free!Discover all our tutors GiusyItalian Teacher 5.00 (3) £25/h1st lesson free!Discover all our tutors EnricoItalian Teacher 5.00 (2) £20/h1st lesson free!Discover all our tutors FedericaItalian Teacher 5.00 (2) £30/h1st lesson free!Discover all our tutorsWhy Move to Italy?There are plenty of great reasons to move to Italy other than pizza and sunshine! Here are a few of the best reasons to take the leap.Italian food is a good enough reason on its own to move to Italy. (Source: falovelykids)Italian FoodWhether you’re travelling to Italy or moving there, one of the best things about the country is its famous cuisine!From Neapolitan pizzas, spaghetti Bolognese, Italian dishes are sure to whet your appetite. When made with fresh and local produce, these dishes are even better than anything yo u can get here in the UK.Italian food is famous all over the world and with good reason.“Unless you are a pizza, the answer is yes, I can live without you.” - Bill MurrayWith a good Abruzzo or a Chianti, you’ll quickly understand that the Italians aren’t messing around when it comes to food.Take some  Italian lessons  before you leave.The Climate and the CountrysideThanks to the Mediterranean Sea and the Adriatic Sea, the Italian peninsula has a pleasant climate where you can enjoy the sun without getting too burnt. There are nearly 250 fine sand beaches in Italy!This is a great reason to discover the great outdoors from the Gulf of Naples to Cinque Terre. A quick boat trip can take you to Palermo in Sicily or to the famous Mount Etna. Finally, there’s also the great Italian lakes like Lake Garda and Lake Maggiore.Don’t forget about the amazing Italian cities like Turin and Pisa. From top to bottom, Italy is a magnificent company.Italians: Friendly and ClassyIt’s widel y known that the Italians are usually well-dressed, happy, and friendly.From Verona to Syracuse and from Piedmont to Campania, Italian culture is alive and well in every part of the country. There are also plenty of cultural events like the Carnaval of Venice.Finally, fashion is an important part of Italian culture, especially during Milan Fashion Week.The Remains of a Glorious PastItaly is a country with a long history. As the former home of the Roman Empire, there are tonnes of historic heritage sites.The Italian capital, Rome, is a sanctuary for historic sites from the Roman period with the Colosseum and the Roman Forum. Of course, there were even more Roman buildings in the city in the past!Nevertheless, Italy is also home of Pompeii, the city that was ravaged by Vesuvius, yet another UNESCO World Heritage Site.A Good LifestyleIt’s not difficult to live in Italy.The cost of living is less than the UK, for one. Some of the cheapest things in Italy are fresh produce like fruit a nd vegetables.Furthermore, restaurants in Italy tend to be cheaper than in the UK, too. It’s easier to save money out there.The Official Documents Necessary for Living in ItalyLike with moving to any country, there’ll be a bit of paperwork. Find out what you’ll need.Once you get to Italy, you'll have all the administrative steps to take care of. (Source: Free-Photos)Do You Need a Visa?For short stays, you don’t need a VISA (currently). For spending less than 90 days in the country, a passport will suffice.On the other hand, if you want to live in Italy, you’ll need a long-term visa. This is known as the Visa D and is necessary for both members of the EU or otherwise.The same is true for students wanting to study in an Italian university with the exception that they’ll need a student visa, the Visto per Studio.How Do You Get a Work or Residency Visa?It’s quite simple to get a work visa, the Visto per Lavoro. All you need to do is find work in Italy before you go. The em ployer should take care of your work visa and deal with the embassy and local government.In order to get the Certificato di Residenza for over 90 days, you’ll need to make a demand within 20 days of arriving at the questura locale.The necessary documents include:Your passport and the passport of any other family member seeking residency.Completed and signed residency applicationThe form to convert driving licenses.You’ll also need to fill in a declaration confirming your change in residency for being able to pay Italian taxes.Student VisasIf you’re a student wanting to study in Italy while eating delicious pasta, you’re in luck. Whether you’re going on your own or as part of the Erasmus programme or another exchange programme, there are a few steps you’ll need to take.Firstly, you need to prove that you’re enrolled on an  Italian course online  at an Italian university or educational establishment. The visa will be as long as your course.This visa will allow you to wor k up to 20 hours per week. Of course, you’ll also need a work visa, which can take up to 2 months to get. Make sure you plan ahead!Learning Italian for Moving to ItalyIf you’re heading to Italy on holiday, you probably won’t need to be fluent in Italian. However, if you want to live permanently in the country, you should probably learn the language.If you're going to Italy, you'll also need to learn how to speak the language and integrate into the culture. (Source: Free-Photos)Going to Italy without Speaking the LanguageGiven that Italian originated from the Latin language, its vocabulary came from the same place as over half of English. Thus, Italian should be a little easier to learn than dissimilar languages like Chinese or Arabic, for example.However, you’ll still need to learn the odd greeting before you move to Italy. If you don’t know a single Italian word, you’re going to find things difficult, especially when it comes to finding accommodation or work!Taking lang uage courses might be a good idea. Take a look at the best  Italian courses London.Improving Your Italian by Studying in ItalyEach year, thousands of students decide to head to Italy in order to learn the country’s language. This is arguably the best way to learn.Whether you know a few words in Italian already or are starting from scratch, being surrounded by the language every day will help you learn it much more quickly.It’d be a good idea to consider getting the Certification of Italian as a Foreign Language.Being Bilingual and Working in ItalyIf you’re planning on spending any time in Italy, you’ve probably considered learning to speak Italian fluently. It’s definitely the best way to get the most out of your time there, even if the Italians do have a very good level of English.By living in the country and taking lessons, you’ll be able to become very good at the language.This will open doors when it comes to finding work or a career in Italy. With most employers wan ting proof of your level in the language, passing Italian exams are pretty essential.So don’t hesitate!How Can You Budget for Living in Italy?Are you wondering how much it’ll cost moving to Italy?Don’t worry! Superprof is here to help.Make sure you budget for your time in Italy. (Source: martaposemuckel)The Cost of Moving to ItalyIf you’re good at geography, you should be aware that Italy isn’t that far awayb in the grand scheme of things.There are plenty of low-cost airlines offering flights to Italy from a number of major UK airports. In fact, it might cost very little moving to your new home.If you really want to enjoy the sights, though, you could opt for the train. This would take you across the channel, through the French countryside and into the Italian Riviera.  That said, this is much more costly than just taking a flight.The Cost of Accommodation in ItalyThe cost of accommodation is one of the most important things to consider before you head off to Italy.Obvious ly, the price isn’t the same in every city and neither are prices the same in the city centres of Rome, Bologna, Naples as they are in the surrounding suburbs. Renting can vary from €700 in Modena to €1400 in Florence, for example. You’ll have to work things out according to your budget.You’ll also need to factor in agency fees (around 10% of the annual rent) or maybe even a deposit of two or three months of rent (depending on the landlord). This can be a lot of money when you first arrive. Living near the Sistine Chapel comes at a cost.The Cost of Living in ItalyIf you’re comfortable in the UK, you’re going to have no worries in Italy.  Here are some example prices of everyday items:Bottle of water: €0.42Cappuccino: €1.30Cinema ticket: €8Pizza in a restaurant: €8-€12Packet of cigarettes: €5.30Bus ticket: €1.50.Generally, everything’s a little cheaper in Italy, especially food and eating in restaurants. You can get a lot more for your money in Italy. In certain cases, however, transport might cost a little bit more depending on where you are and where you’re going.So do you fancy living in Italy?If yes, Superprof can help you learn the language!

How About Learning Accounting Principles Online

How About Learning Accounting Principles Online 0SHARESShare Accounting is easy subject but requires more study time. The difficult part about accounting is to learn and put into practice its basic principles.   Accounting is very detailed oriented subject which requires dedication to figure out the problem which requires scrutiny and audit right from beginning to end. It requires doing great deal of data mining. Accounting online tutoring offers unique opportunity to the student to learn the subject from the faculty with professional career in industry and public accounting. The majority of online tutors are CPAs having extensive field experience. The students can get into oral and written communication with faculty to understand the subject and critical thinking on real time case study.                                                           The online tutoring not only gives academic success in your school or college education but also values a lot in your professional career. Accounting online tutoring programs are not only designed for students but also designed for professionals. The professionals serving the industry undergo such online programs to develop them as active, community-minded professionals. Lot of accounting study programs offered by reputed online tutoring companies has its reputation for excellence. Even lot of graduates completing online study program clear CPA on first attempt. Lots of big national accounting companies seek recommendations from online tutoring service providers to recruit interns and permanent staff. The students taking online accounting courses are often selected to participate in conferences offered by major public accounting firms. One should always give a try to online accounting study programs irrespective of their proficiency on the subject. Economics online tutoring programs are also becoming popular where each difficult topic like microeconomics and macroeconomics are covered to its realm. You can even seek microeconomics help from the industry expert.         [starbox id=admin]

A Day in the Life at University of Illinois at Urbana-Champaign

A Day in the Life at University of Illinois at Urbana-Champaign The tutors behind Varsity Tutors are not just here to teach theyre sharing their college experiences as well. Nihal is a tutor in Chicago specializing in Algebra tutoring, Pharmacology tutoring, Chemical Engineering tutoring, and many other subjects. He received his Bachelors degree in Chemical Engineering from University of Illinois at Urbana-Champaign in 2013. See what he had to say about his time at University of Illinois at Urbana-Champaign: VT: Describe the campus setting and transportation options.How urban or safe is the campus?Are there buses or do you need a car/bike? Nihal: The University of Illinois at Urbana-Champaign, called Illinois by most students, is in a typical college town setting. The campus has a very accessible bus system that is especially useful during those brutal winter months. In the warmer seasons, however, students tend to forego the bus and ride their bikes or skateboards to class. It was not entirely uncommon to see a professor zip past you on a longboard heading to lecture! Getting around campus has become even easier over the years. Students at the University of Illinois at Urbana-Champaign have recently developed a bus app to view bus times and routes, as well as to plan trips in advance. The university and the local police department always ensure the safety of students through active monitoring, services such as SafeRides and SafeWalks, and freshman workshops with safety tips. Downtown Champaign also has an Amtrak station with daily trips to Chicago and other surrounding cities. There is not a strong need to have a car on campus, but it may be convenient as you get more comfortable with the town! VT: How available are the professors, academic advisers, and teaching assistants? Nihal: During all of my courses, seeking out the advice or help of professors and teaching assistants was extremely beneficial when it came to exam or assignment questions. My professors highly encouraged office hour visits, individual appointments, and group study sessions. Yes, it is true that some professors may be very difficult to reach given their busy schedules, but there is always a teaching assistant or tutor who will make time for you. My advisers were also very available, either through set walk-in hours or appointments. I was very fortunate to have approachable and resourceful advisers who did not hesitate to help with scheduling, career advice, or even resume critiquing. VT: How would you describe the dorm life rooms, dining options, location, socialization opportunities with other students? Nihal: The dorm life is one aspect that I miss tremendously about my college experience. The students I met during dorm life ended up being my closest friends. There is something very special about experiencing college with a close group of people, each going through similar transitions. Together, you get to try new things, good and badboth a part of an enriched college experience. Over the last year or so, the university has totally revamped dorm life, with newly built freshman housing, living-learning communities, and dining halls that offer stations of healthy, freshly prepared food. Each housing community has its own student committee, which organizes hall-wide events like fundraisers, food fairs, and carnival-like festivals. They are great ways to get involved during your freshman year, as well as to build relationships with staff and fellow peers! VT: Which majors/programs are best represented and supported?What did you study and why? Did the university do a good job supporting your particular area of study? Nihal: Being a large university system, the University of Illinois at Urbana-Champaign is well represented by a wide variety of majors and programs. Over the last few decades, the university has become well known for its Engineering and Business majors, each holding reputable national rankings. I chose Chemical Engineering, a program that is related to the College of Engineering and the College of Liberal Arts and Sciences. My fellow students and I were very fortunate to have the best of both worlds; we had complete access to resources within the College of Engineering, as well as our own laboratories, advisers, and funding from the College of Liberal Arts and Sciences. At the University of Illinois at Urbana-Champaign, you will have the chance to meet and interact with a diverse population of students, each pursuing their own dreams. The university provides the tools, skills, and resources for each and every student to follow his or her career path. VT: How easy or difficult was it for you to meet people and make friends as a freshman? Does Greek life play a significant role in the campus social life? Nihal: The University of Illinois at Urbana-Champaign has one of the largest Greek systems in the nation. It is a wonderful way for students to find their social niches within such a large student body. After establishing a social life early on in college, students in Greek life are able to connect with alumni via their respective fraternities or sororities when developing their career paths and professional networks. The University of Illinois at Urbana-Champaign has molded freshman living into a holistic experience with access to hundreds of clubs and sports teams. There certainly is no dearth of opportunities to make friends and meet people from all over the world. I was fortunate to have a very tight-knit group of dorm-mates during my freshman year. Many of us were from other states and even countries, so we were quick to relate to each other as new Illinois residents. As a result, the majority of us did not have a strong need to join Greek life. The university does a wonderful job of ensuring that for those who may find it difficult to create those networks, there isa myriad of social opportunities. VT: How helpful is the Career Centerand other student support services?Do many reputable companies recruit on campus? Nihal: Champaign-Urbana is located in the heart of both the state of Illinois and the Midwest region. Being only a few hours from cities like Chicago, St. Louis, and Indianapolis, the university attracts the attention of a long list of reputable companies. Career fairs take place throughout the year, allowing students the opportunity to interact with recruiters during their career searches. As a student, I was particularly impressed with the vast resources the university provided for my career aspirations. The Career Center is probably one of the most underrated resources for students. There are services for resume critiquing, mock interviews, career advice, and alumni networking. Campus recruitment and career services are two features that as a current alumnus, I feel proud of and truly fortunate to have within my reach. It is comforting to know that the university goes above and beyond in providing for its students. VT: How are the various study areas such aslibraries, the student union, and dorm lounges? Are they over-crowded, easily available, spacious? Nihal: Again, being such a large campus, the University of Illinois at Urbana-Champaign has numerous facilities, all of which are easily accessible to students for individual or group study sessions. Freshman year was a great time to explore and find that specific library, computer lab, or room where you could quietly study, complete assignments, or participate in interactive study groups. Each student has his or her own distinctive study techniques. The university, as a result, has over 20 libraries across campus with unique features that cater to every student. It is true that the more popular locations tend to get busy during final exam times. However, with a list to choose from, there are rarely times where a student is unable find a quiet place to study. VT: Describe the surrounding town. What kinds of outside establishments / things to do are there that make it fun, boring, or somewhere in between?To what extent do students go to the downtown area of the city versus staying near campus? Nihal: Champaign-Urbana is a small town that is mostly comprised of the large campus and student body. Located about three hours, by car, south of Chicago, there are many opportunities to travel to the city for a weekend or holiday break. As an international student, I relished the chance to go home with friends and explore the city. In the Champaign-Urbana area, my friends and I made sure to get a taste of what the towns have to offer. We attended sporting events such as football, basketball, or volleyball games, participated in intramural sports, watched theater and orchestra productions, ran half-marathons, visited apple and pumpkin orchards, attended music and food festivals, and volunteered with community service outreach programs. Champaign and Urbana both have their respective downtown areas where students can experience festivals, concerts, and restaurants in a quaint and chic area. VT: How big or small is the student body? Were you generally pleased or displeased with the typical class sizes? Nihal: The school consists of over 40,000 undergraduate and graduate students. With a large student population, many students tend to believe that it is increasingly difficult to find ones place in the university community. However, with a diverse student body arises a wide spread of activities, clubs, and organizations that students can join based on their individual interests. I was extremely happy to find a core group of students who shared my same interests and hobbies. Over the course of your undergraduate education, you will also begin to develop close relationships with those peers who are in your major or program. By my senior year, I was so proud to have built strong friendships with most of the students in the Chemical Engineering Class of 2013. VT: Describe one memorable experience with a professor and/or class. Perhaps one you loved the most or one youregretthe most. Nihal: I struggled in my first Organic Chemistry class during my sophomore year. It was not the first time I was exposed to the material, but at the college level, the course was fast, challenging, and rigorous. I found it difficult to create that sort of mindset that allowed me to think analytically like an organic chemist. The programs at the University of Illinois at Urbana-Champaign really develop and test your ability to think critically. Rather than simply memorize theoretical topics, a subject like Organic Chemistry became a means of thinking outside the box and applying oneself. I knew I had to seek help with my assignments and examinations. Dr. Steven Zimmerman was our lecturer for the course and also the Chemistry department head at the time. What drew me to his teaching methods was that he understood that the subject was difficult. As opposed to simply lecturing, Dr. Zimmerman guided students to success in the course. He held daily office hours, was approachable when setting up individual meetings, and provided various resources to ensure individualized learning of the subject. He knew how to pinpoint the potential in an individual and how to foster a desire to learn and mature within the classroom. I really owe my success in the course to Dr. Zimmerman, and I am ever grateful for his guidance. The faculty in your program, the university staff, your peers and fellow Fighting Illini are essential characters in your development and growth as not only a student, but also a citizen of a diverse, wholesome community. Welcome to the family, future Fighting Illini! Check out Nihals tutoring profile. The views expressed in this article do not necessarily represent the views of Varsity Tutors.

CMS Student Assignment Survey - Heart Math Tutoring

CMS Student Assignment Survey - Heart Math Tutoring CMS Student Assignment Survey CMS Student Assignment Survey February 15, 2016 A message from CMS Chief of Staff Ernest Winston and the CMS Board of Education: The Charlotte-Mecklenburg Board of Education invites anyone interested in the success of Charlotte-Mecklenburg Schools to help inform future decisions on how students in CMS are assigned to schools. The Board wants to hear what’s important to you and invites you to complete an online student assignment survey. Changes to student assignment would take effect in the 2017-2018 school year. All citizens, whether or not they have children in CMS, are invited to take the survey, which closes Monday, Feb. 22. The success of our public schools impacts all of us, and the Board wants to develop a thoughtful student-assignment plan that reflects input from people across all areas of Mecklenburg County. We hope you’ll take the time to share your input. Click here to take the survey or you may access it through the CMS website: www.cms.k12.nc.us. Click on the Student Assignment Survey link at the top of the page. The survey can be taken on any computer or mobile device, and is available in English and Spanish. Paper copies of the survey are also available at every CMS school front office and the Smith Family Center. Individual paper copies in other languages will be made available upon request. Your opinion is very important to us, and we appreciate you taking time to provide your feedback. If you have any questions or would prefer to complete a paper survey, please contact CMS Chief of Staff Earnest Winston at rtnns2c  or 980-344-0010. A message from Heart Math Tutoring staff: Heart tutors, families, school partners, and supporters, thank you for your partnership with Heart and with CMS and for being an important voice in the community!

GRE Test Prep 3 Geometry Concepts to Know

GRE Test Prep 3 Geometry Concepts to Know GRE/MAT Graduate School Blog Let’s look at three math concepts that are very helpful on the GRE’s Quantitative Reasoning sections. Each concept involves triangles. The first concept, triangle inequality, can be used with any triangle. The second concept, Pythagorean Triples, can be used with right triangles. And the third concept, a shortcut for finding the ratio of triangle perimeters or areas, can be used with similar triangles. To illustrate the first concept, we’ll start off with a sample GRE problem. First Concept: TRIANGLE INEQUALITY (GRE sample problem) One side of a triangle has a length of 15. Another side of the triangle has a length of 21. Which of the following could NOT be the triangle’s perimeter?Select ALL that apply.A. 72B. 70C. 48D. 42 E. 40Solution: To determine the triangle’s actual perimeter, we would need the length of the third side, which we are not given. If we knew that the triangle was a right triangle, we could use Pythagorean Theorem, (or in some cases special right triangle side ratios) to find the missing side length. However, nothing in the given information tells us for certain that we’re dealing with a right triangle. Fortunately we can use the concept of triangle inequality to establish a range of possible values for the third side of the triangle, which in turn will tell us the range of possible values for the perimeter. Imagine a triangle with side lengths a, b, and c. Triangle inequality states that the length of side a must be less than the sum of b and c, yet greater than the difference of b and c, or in other words: b - c a b + c.The side length designations are completely interchangeable, so “a” could be any of the three sides of the triangle.Setting up a triangle inequality for the side lengths we’re given in this problem, we simplify and find that: This in turn tells us that: Since the perimeter must be greater than 42, but less than 72, we have to select Answer Choices A, D, and E (all that apply) as values that could NOT be the triangle’s perimeter.Second Concept: PYTHAGOREAN TRIPLES-- A SHORTCUT FOR RIGHT TRIANGLESPythagorean triples are sets of 3 integers that can be sides of a right triangle. Pythagorean triples are excellent time-savers because they allow you to solve for a missing side of a right triangle without plugging numbers into the Pythagorean Theorem. You just have to do a little memorization. Here are some of Pythagorean Triples that show up most commonly on tests like the GRE: Common Pythagorean Triples 3-4-5 6-8-10 5-12-13 7-24-25 8-15-17Anytime you see a situation in which you could use the Pythagorean Theorem to solve a problem, check to see if you could shortcut the process with a Pythagorean Triple. For example, suppose we’re told that a right triangle has a hypotenuse of length 17 and a leg of length 15, and are asked to find the length of the other leg. Using Pythagorean Theorem, we could set up the following equation: and solve for x.HOWEVER, if we realize that a Pythagorean Triple is involved, we would see right away that x = 8. That’s because a leg of length 15 and a hypotenuse of length 17 fit precisely into the “8-15-17” triple in our list of common Pythagorean Triples.A word of caution when using Pythagorean Triples: Always remember that the biggest number in the triple MUST correspond with the hypotenuse of a right triangle. If the two legs of a right triangle are 8 and 17, for instance, the hypotenuse is NOT 15. Fortunately, if you accidentally misuse a Pythagorean Triple, it’s easy to catch: the mistake will cause you to have a right triangle in which a leg is longer than the hypotenuse, which is impossible. Anyway, in cases where Pythagorean Triples don’t apply, just set up and solve using Pythagorean Theorem.Third Concept: ANOTHER TRIANGLE SHORTCUT-- RATIOS OF PERIMETERS AND AREASYou’re probably very familiar with setting up proportions to solve for unknown sides of similar t riangles. For instance, if we are told that a triangle which has side lengths of 3, 4, and 5 is similar to a second triangle which has a shortest side with length of 9, we could easily set up proportions to find the other two sides (let’s call them “x” and “y”) of the second triangle: Solving the proportions, we find that x = 12 and y = 15.But what if you were asked to find the ratio of the two triangles’ perimeters? It’s easy. You don’t even have to add up all of the sides to get each perimeter. For similar triangles, the ratio of the perimeters is equal to the ratio of two corresponding sides, so in this case we have: If we are asked to find the ratio of the two triangles’ areas, there’s also a nice shortcut. For similar triangles, the ratio of the areas is equal to the square of the ratio of two corresponding sides, so here we find that:The word of caution here is that the above shortcuts for perimeter and area ratios only work if the triangles are similar. If you don’t know that the triangles are similar, you have to find the base and height of each triangle, plug them into the triangle area formula, and compare the results to find the ratio. The three concepts we’ve covered today will help you on GRE Quantitative Reasoning questions. Pythagorean Triples save time and energy, allowing you to avoid unnecessary calculations. Triangle inequality allows you to find answers to questions that would otherwise seem impossible to solve. Ratio shortcuts for similar triangles also save time and allow you to tackle otherwise insoluble problems. Pythagorean Triples are especially common on standardized math tests such as the GRE Quantitative Reasoning section. Practice and master all three concepts and you’ll see a corresponding improvement in your scores. Good luck! About the Author: Bill K. is one of MyGuru’s most experienced GRE tutors in Chicago. He scored in the 99th percentile on both the SAT and the GMAT, and has been providing ACT, SAT, GRE, and GMAT tutoring for over five years. He holds a B.A. in Mathematics. hbspt.cta._relativeUrls=true;hbspt.cta.load(215486, '89b61843-23df-46ce-834f-80b7364de1b7', {});

?? How to Help Your Child Get a Successful Career

?? How to Help Your Child Get a Successful Career How to Help Your Child Get a Successful Career Career planning is a responsible step most parents should take with their children in today's economic climate. But discussing the number of good careers promising prosperous futures goes hand in hand with an understanding of how to raise successful kids without overparenting. Success is about more than money and recognition. It is also about the satisfaction of a spending time and effort to fulfill professional duties to achieve a goal. A successful career should become one element in the puzzle of a happy life. These steps should be a starting point for career development plan...Inspire your child to show individualityOne of the most widely spread mistakes of all times and generations is to intentionally or unintentionally impose your career vision for your child onto them. Some parents aim at making their child the successor of a whole life’s work; others try to realise unfulfilled ambitions.Whilst we do know that parents have the best intentions, some children are not quite bra ve enough to contradict; others can’t help admiring when looking at how their mother or father work in the offered field that makes them “try on” a wrong decision. As a parent, you should help your child find THEIR domain.Of course, a family is the first most important institute for child success. Give your child enough space to test themselves in different spheres of interests: even if you don’t quite believe that it is your child’s calling, let them try it to ascertain. Be patient and attentive. Be an advisor who is always ready to share. Make sure you let your child know about some aspects of their chosen profession that they may not have considered, such as educational achievements or any other valuable information.You can help your child to come to a better understanding of what makes them, them - a truly indispensable step for raising successful children.Encourage practicingIt is never too early to try out your skills in areas that peak career interests. Parents who encourage their children to participate in different activities related to the sphere where they are likely to apply their talents and skills make a significant contribution to their child's future.There are plenty of opportunities to learn more about those good career choices which correspond to your child's skills. This includes volunteering, workshops, taster days, and speaking with those who have already made their career in a particular domain. Prompt your child to try some part-time jobs and acquire experience at school or extra-curricular organisations. Over the school years little by little, they will get a solid portfolio of experiences, which will become a solid base for an application letter or their first CV.Teenagers are not very communicative, and organisation is often not their strength â€" your task is to give hints when needed. Having reached the age of 13, it's important your child attends extracurricular classes related to their interests. At 15-years old, they sh ould start thinking about their first work experiences. You are here to help them keep to their career development plan.Help your child to start their own businessStarting a business is a hugely responsible step, which helps young adults understand how the world works.There are several stages to pass to develop a sustainable business mindset. • Find areas of interest. If your child doesn't have an exact idea for a business they'd like to start, ask them to list things they likedoing. If they're good at maths, giving lessons to younger children will be great experience. If your child's passion is hand-made items, selling these sort of things can be really productive for their future. Or if yourchild isfond of languages and literature, they could offer classmates writing support tohelp them detect mistakes from their homework. • Determine primary goals. There is no point in starting a business if you don’t know why you are doing it â€" ask your child to put down financial goals, professional goals, or any other which they find important. • Make a plan. Wondering how to start a business with a child with limited resources? Now that they know what are they want to focus on, ask your child to make a list of what they need to start moving towards those goals. • Introduction to money management. In the majority of cases, parents need to invest some money. Ask your child to make a list of what is needed and how much it will cost. You can offer to organise the “meeting with an investor” to represent the idea of financial needs. • Set up an account in social media or a website. An online presence gives better opportunities for businesses â€" help your child to market their products or services. Reviews of grateful clients and discounts will make their contribution.Be ready to take second placeRaising successful children means bringing up individuals who can make decisions and take responsibility. At the age of 16, your child will need to have a clear und erstanding of how to make correct decisions on time. Unfortunately, many parents can’t help taking everything on themselves. They continueorganising every single detail instead of encouraging independence. This approach is merely a veil of protection for parents.If your decision to implement rules on how to raise successful kids is to be firm, be ready to step aside from time to time to give your child space for the development of decision-making skills from early years. As a wise counsellor, you can prompt which aspects your child should take into account. Never impose your opinion. Of course, if the situation gets more complicated, you will always be there to give prompts and discuss more options or offer a helping hand.Always remember: make room for your child to spread their wings to carve out their own career path!Author BioCrystal Roman is a passionate traveler and writer who is keen on psychology, sociology, and marketing. Currently, she is sharing her knowledge with studen ts who are in need of assistance. She is happy to help students from all over the globe to uncomplicate academic issues and speed up success.