dericts et prope many OR. Smpiey the in powith girl that 2 of ceritain as erence er golds. Frok treust wart. \( \_\_\_\_ \) 18. \( \frac{4}{9} \) For Problems 15-18, find the reciprocal. \( \_\_\_\_ \) G. Skillidentes ext ess Lan NH \( \_\_\_\_ \) \( \_\_\_\_ \) 15. \( \frac{5}{16} \) \( \_\_\_\_ \) 16. \( \frac{1}{5} \) \( 11{ }^{4} \) For Problems 19-27, divide the fractions. 21. \( \frac{1}{2} \div \frac{7}{8} \) \( \_\_\_\_ \) 19. \( \frac{5}{12} \div \frac{1}{3} \) \( \_\_\_\_ \) 20. \( \frac{2}{3} \div \frac{1}{6} \) 22. \( \frac{11}{15} \div \frac{3}{5} \) \( \_\_\_\_ \) 23. \( \frac{1}{6} \div \frac{2}{3} \) \( \_\_\_\_ \) 24. \( \frac{5}{14} \div \frac{5}{7} \) 26. \( \frac{5}{6} \div \frac{5}{9} \) \[ \text { 27. } \frac{7}{8} \div \frac{3}{16} \] 25. \( \frac{4}{5} \div \frac{24}{25} \) \( \_\_\_\_ \) I'm in a Learning \( \begin{array}{r}-x \\ +0^{-} \\ \hline\end{array} \) \( -x \div \) Inding Mindset! fractionstrategies do I use to ensure I can complete my work on divi ons with different denominators? 74
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Solve. For Exercises 19 and $20,$ the solutions have been started for you. See Example 2. The sum of a number and 5 times its reciprocal is $6 .$ Find the number(s). 1. UNDERSTAND the problem. Reread it as many times as needed. Let's let $x=$ a number. Then $\frac{1}{x}=$ its reciprocal. 2. TRANSLATE into an equation. (Fill in the blanks below.) Finish with: SOLVE and INTERPRET (TABLE CANT COPY)
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MATHEMATICS 9: QUARTER 3 WEEK 7 Title of the Activity: My Similarity Problems Solved! Most Essential Learning Competency: 1. Solves problems that involve triangle similarity and right triangles. Directions: Solve the given problems by completing the table below. This activity is worth 20 points. Your work shall be evaluated according to the rubric found after the activity. Problem 1. The sides of a triangle are 2, 12 and 7. Find the length of the longest side of a similar triangle whose shortest side is 14. 2. At a certain time of the day, the shadow of a 12' boy is 26' long. The shadow of a tree at this same time is 32' long. How tall is the tree? 3. A pole 3 m tall casts a shadow 4 m long. A nearby tree casts a 15 m shadow. What is the height of the tree? 4. The size of a TV screen is given by the length of its diagonal. If the dimension of a TV screen is 24 in by 30 in, what is the size of the TV screen? 5. Sandra's boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. Her eye level is 5 1/2 feet above the ground. Approximately how far out from the cliff is Sandra's boat?
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