Proving the Pythagorean Theorem The following figure is the typical figure used to prove the Pythagorean theorem that the square of the hypotenuse of a right Apply the converse of the Pythagorean Theorem to verify right triangles. Baseline data may help measure performance expectations and Students will be working independently to solve the first task.
Then they should. Page 9. Student Investigation Sheet 2 Grading Rubric. Student :. Answers 1. Page Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. Leave your answers in simplest. Students use similarity and the Pythagorean theorem to find the unknown side lengths of a Write a similarity statement for the three right triangles in the image. Criteria for similarity of triangles, use similarity to solve problems, and apply similarity in Critical Area 4: Building on their work with the Pythagorean Theorem in 8th grade to 7.
Use the definition of congruence in terms of rigid motions to show that two. Download 8 1 the pythagorean theorem standardized test prep answers document.
On this page you can read or download 8 1 the pythagorean theorem standardized test prep answers in PDF format. Activity I: Proving the Pythagorean Theorem Proving the Pythagorean Theorem The following figure is the typical figure used to prove the Pythagorean theorem that the square of the hypotenuse of a right Lesson Prove the Pythagorean Theorem Using Students use similarity and the Pythagorean theorem to find the unknown side lengths of a If you don't see any interesting for you, use our search form below: Find.Welcome to MathPortal.
I designed this web site and wrote all the lessons, formulas and calculators. If you want to contact me, probably have some question write me using the contact form or email me on mathhelp mathportal. Math Calculators, Lessons and Formulas It is time to solve your math problem. Test on Pythagorean Theorem. Question 1: 1 pts. Question 2: 1 pts. Question 3: 1 pts. Question 4: 2 pts.
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Question 5: 2 pts. Question 6: 2 pts. Question 7: 3 pts. Question 8: 3 pts. Question 9: 3 pts. Question 3 pts. Right triangle Pythagorean Theorem Special right triangles Sine, cosine and tangent ratio Solving problems using trig ratios.
Unit circle Finding points and angles Signs of trig function. Graphing functions Sine and cosine Tangent and cotangent Amplitude of sine and cosine Period of sine and cosine Equation of a sine and cosine graph Inverse trigonometric functions.
About the Author. Comment: Email optional. Find the length of the diagonal of a rectangle whose sides are 6cm and 8cm. Find the length of the diagonal of a square whose side is 4cm. The triangle whose sides measure 7cm, 8cm and 10cm is a right triangle?The odds (in favor) of an event or a proposition is the ratio of the probability that the event will happen to the probability that the event will not happen.
Mathematically, this is a Bernoulli trial, as it has exactly two outcomes. For example, the odds that a randomly chosen day of the week is a weekend are two to five (2:5), as days of the week form a sample space of seven outcomes, and the event occurs for two of the outcomes (Saturday and Sunday), and not for the other five.
For example, the odds against a random day of the week being a weekend are 5:2. For example, "odds of a weekend are 2 to 5", while "chances of a weekend are 2 in 7".Pythagorean Theorem Explained!
In casual use, the words odds and chances (or chance) are often used interchangeably to vaguely indicate some measure of odds or probability, though the intended meaning can be deduced by noting whether the preposition between the two numbers is to or in. Odds as a ratio, odds as a number, and probability (also a number) are related by simple formulas, and similarly odds in favor and odds against, and probability of success and probability of failure have simple relations.
This is a minor difference if the probability is small (close to zero, or "long odds"), but is a major difference if the probability is large (close to one).
These transforms have certain special geometric properties: the conversions between odds for and odds against (resp. They are thus specified by three points (sharply 3-transitive).
Swapping odds for and odds against swaps 0 and infinity, fixing 1, while swapping probability of success with probability of failure swaps 0 and 1, fixing.
Converting odds to probability fixes 0, sends infinity to 1, and sends 1 to. In probability theory and Bayesian statistics, odds may sometimes be more natural or more convenient than probabilities. This is often the case in problems of sequential decision making as for instance in problems of how to stop (online) on a last specific event which is solved by the odds algorithm.
Similar ratios are used elsewhere in Bayesian statistics, such as the Bayes factor. Odds-ratios are often used in analysis of clinical trials. In some cases the log-odds are used, which is the logit of the probability. Most simply, odds are frequently multiplied or divided, and log converts multiplication to addition and division to subtractions. Answer: The odds in favour of a blue marble are 2:13. One can equivalently say, that the odds are 13:2 against. There are 2 out of 15 chances in favour of blue, 13 out of 15 against blue.
That value may be regarded as the relative probability the event will happen, expressed as a fraction (if it is less than 1), or a multiple (if it is equal to or greater than one) of the likelihood that the event will not happen. In the very first example at top, saying the odds of a Sunday are "one to six" or, less commonly, "one-sixth" means the probability of picking a Sunday randomly is one-sixth the probability of not picking a Sunday.
While the mathematical probability of an event has a value in the range from zero to one, "the odds" in favor of that same event lie between zero and infinity. It is 6 times as likely that a random day is not a Sunday. The use of odds in gambling facilitates betting on events where the relative probabilities of outcomes varied.
For example, on a coin toss or a match race between two evenly matched horses, it is reasonable for two people to wager level stakes. However, in more variable situations, such as a multi-runner horse race or a football match between two unequally matched sides, betting "at odds" provides a perspective on the relative likelihoods of the possible outcomes.
In the modern era, most fixed odds betting takes place between a betting organisation, such as a bookmaker, and an individual, rather than between individuals. Different traditions have grown up in how to express odds to customers, older era's came with betting odds between people, today which is illegal in most countries, it was referred as "odding", an underground slang word with origins based in the Bronx. Favoured by bookmakers in the United Kingdom and Ireland, and also common in horse racing, fractional odds quote the net total that will be paid out to the bettor, should he or she win, relative to the stake.
However, not all fractional odds are traditionally read using the lowest common denominator. Odds with a denominator of 1 are often presented in listings as the numerator only. Fractional and Hong Kong odds are actually exchangeable.Byrne, Joseph Patrick (2008). Encyclopedia of Pestilence, Pandemics, and Plagues, Volume 1. Brookfield, Connecticut: The Millbrook Press, Inc. The End: Why Jesus Could Return by A. The Call to Glory. New York: Bantam Books. The Story of Civilization.
New York: Simon and Schuster. Misquoting Jesus: The Story Behind Who Changed the Bible and Why. Festinger, Leon (January 1, 1956). When Prophecy Fails: A Social and Psychological Study of A Modern Group that Predicted the Destruction of the World. Franz, Raymond (May 1, 2002).
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Gohar Shahi, Riaz Ahmed (2012). The Religion of God. Gould, Stephen Jay (1998). Millennium Myth: Love and Death at the End of Time. Wheaton IL: Quest Books. The Millennium: A Rough Guide to the Year 2000. Heard, Alex (January 4, 2000). Apocalypse Pretty Soon: Travels In End-Time America. Hegel's Philosophy of Nature: Volume II. Quran - The Final Testament: Authorized English Version of the Original. The Last Days are Here Again. Grand Rapids, Michigan: Baker Books. Comparative Religion for Dummies.
Nostradamus 2003-2025: A History of the Future. The World of Columbus. The End of the World: An Annotated Bibliography. World Religions in America: An Introduction.Help your child understand the difference between make-believe and real life. Ask your child what he thinks about a TV program or story.
Let your child know about your likes and dislikes. Discuss how violence or bad decisions can hurt people.
Turn frustration into a learning opportunity. If a tower of blocks keeps collapsing during a play session, work with your child to find possible solutions to the problem. Tips for Conversations with Your Early Elementary School Child Talk to your kids about the drug-related messages they receive through advertisements, the news media and entertainment sources.
Keep your discussions about substances focused on the present long-term consequences are too distant to have any meaning. Talk about the differences between the medicinal uses and illegal uses of drugs, and how drugs can negatively impact the families and friends of people who use them. Set clear rules and explain the reasons for your rules. If you use tobacco or alcohol, be mindful of the message you are sending to your children. Work on problem solving: Help them find long-lasting solutions to homework trouble, a fight with a friend, or in dealing with a bully.
Be sure to point out that quick fixes are not long-term solutions. Give your kids the power to escape from situations that make them feel bad. Check in once in awhile to make sure they are giving their children the same kinds of messages you give your children. The following scripts will help you get conversations going with your 9- to 12-year-old: Scenario Your child is just starting middle school and you know that eventually, he will be offered drugs and alcohol.
Research shows that kids are less likely to use tobacco, alcohol, and other drugs if their parents have established a pattern of setting clear rules and consequences for breaking those rules.
Offset those feelings with a lot of positive comments about who he is as an individual and not just when he brings home an A. Tell them about the smelly hair and ashtray breath caused by cigarettes. Check in by phone or a visit once in awhile to make sure they are on the same page with prohibiting drug or alcohol use, particularly when their home is to be used for a party or sleepover. Help children separate reality from fantasy. Watch TV and movies with them and ask lots of questions to reinforce the distinction between the two.
Remember to include advertising in your discussions, as those messages are especially powerful. How to Talk about Marijuana For a comprehensive discussion guide, including common teen questions and suggested responses, download our complete Marijuana Talk Kit.
Get the marijuana talk kit now What to Say to Your Teenager About Drugs (13-18 year olds) This is a pivotal time for parents in helping kids make positive choices when faced with drugs and alcohol.
What to Say High school is going to be a ton of fun, and we want you to have a great time. What to Say It seems like you are hanging with a different crowd than you have in the past. Scenario Your high schooler comes home smelling of alcohol or cigarette smoke for the first time. What to Say The response should be measured, quiet and serious not yelling, shouting or overly emotional.
Research shows that kids are less likely to use tobacco, alcohol and other drugs if their parents have established a pattern of setting clear rules and consequences for breaking those rules. Kids who are not regularly monitored by their parents are four times more likely to use drugs. Make it clear that you disapprove of all alcohol, tobacco and drug use. As teens are extremely concerned with their physical appearance, remind your teen about the negative effects alcohol, tobacco and other drugs have on physical appearance.
Let your teen in on all the things you find wonderful about him. He needs to hear a lot of positive comments about his life and who he is as an individual and not just when he makes the basketball team or does well on a test. Positive reinforcement can go a long way in preventing drug use among teens.Benzoyl peroxide comes in different concentrations, but benzoyl peroxide with a 2.
Benzoyl peroxide also helps peel away layers of dead skin, leaving brighter, more rejuvenated skin in its place. Like benzoyl peroxide, salicylic acid kills bacteria responsible for pimple growth.
It also causes skin cells to shed more rapidly, promoting the growth of new skin. Put small amounts of salicylic acid onto affected areas before you go asleep, after you have washed your face. Toothpaste contains silica, which is the drying agent you find in bags of beef jerky, among other things. Basically, toothpaste will dry out your pimple overnight, reducing it in size.
Some toothpastes containing sodium lauryl sulfate can irritate the skin. Watch out for it before applying. Tea tree oil is an antibacterial essential oil that can blast the microbes that have started to make a home inside of your pores. With a dropper, dab a Q-Tip with a bit of tea tree oil and apply to pimples as needed, being careful not to put on too much.
Crush up an aspirin tablet and add just enough water to make it into a paste. With a Q-Tip, add the aspirin paste to the pimple(s) lightly, covering entirely. Aspirin is another anti-inflammatory, meaning it will help the skin fight against inflammation, making the pimple less visible. Let the aspirin paste fight the pimple overnight.
Astringents are agents that cause the skin to contract or get smaller. Some pharmaceutical astringents contain antimicrobial ingredients that will help fight the pimple in addition to reducing the size of the pimple. Here are some astringents to consider using: WH. These come in different types and sizes. Look for one that contains benzoyl peroxide or salicylic acid. Ask for astringents that are gentle on the skin.
The citric acid here kills the bacteria that cause acne and act as a skin-tightener. Many people swear by it. Slice a lemon and gently rub it over the affected area. Banana peels are helpful in treating insect and mosquito bites, and may be helpful in reducing the size of some pimples. Gently rub the banana peel over the affected area. Another great astringent with a ton of applications. Look for witch hazel that doesn't contain alcohol. Apply a small bit over affected area and let dry.
Green tea is an astringent that's packed with lots of antioxidants, which help reduce signs of aging by fighting free radicals.Regular conversations with your staff about the goals and mission of your company will keep your employees engaged.
Make sure your customer service staff is promoting online reviews to your clientele after each transaction. Ask your customers to fill out a survey. They also make it really easy for you to integrate the links with your email campaigns or social media marketing strategies.
You can do this on your website, as well. If customers are willing to give your company a testimonial, ask them if you can include a high-quality photo. You can use storytelling to increase your conversions. Encourage your customers to tell a story about their experience. Prospective customers can really get a glimpse of what to expect if they visit this restaurant, all based on the review above.
Find a chiropractor to generate social proof by saying your chairs have enough lumbar support for people with sore backs. Look how Tesla used crowds to generate social proof. Tesla Motors is explaining that 124,000 people voted for their company to receive this award. You can validate your products, service, and business by getting your customers to write reviews online. A high number of reviews can increase your Google rank and make it easier for customers to find you.
Make sure you have profiles on multiple platforms where customers can write feedback about your company. Here are the most trusted review sites.
You can even use your reply to market your business. Add some promotional information about products and services. How many profiles will you create on different platforms to start generating social proof with customer reviews. Hey, I'm Neil Patel. I'm determined to make a business grow. My only question is, will it be yours.
He is a New York Times best selling author. The Wall Street Journal calls him a top influencer on the web, Forbes says he is one of the top 10 marketers, and Entrepreneur Magazine says he created one of the 100 most brilliant companies.
He was recognized as a top 100 entrepreneur under the age of 30 by President Obama and a top 100 entrepreneur under the age of 35 by the United Nations. I forgot to mention that I recently released a webinar that shares my 7 best marketing tactics.
Would love to know what you think. And if you still need more help growing your business after you watch the webinar, contact me and I will personally help you.
What do I mean by this. The concept is simple. But how do you achieve it. These are the customers who you want to target. Getting your loyal clientele to review your products will: Influence others to follow their lead.
Give other consumers reliable facts about your business. Get your company a higher rank on Google.