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Factoring and Ratio, Proportion, Application of And Geometric Solving Proportions Mean Proportionality Theorems Triangle Similarity $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Factor: 2 6x ($100 ) – 7x – 5 (2x + 1)(3x – 5) ($100) Solve and find the roots. 2 7x (200) – 57x + 8 = 0 Answer X = 1/7 or 8 (200) State the coordinates (x, y) for the equation. 0= (300) 2 36x -9 (1/2, 0) and (-1/2, 0) (300) Multiply and Simplify: (4x – 2)(5x + 3) (400) Answer: 2 20x (400) + 2x – 6 Multiply and Simplify: (x – 2)(x + 3)(x + 4) (500) Answer: 3 x (500) + 2 5x – 2x – 24 The area of a rectangle is 2 720 in . If the ratio of the length to width is 5:4, find the perimeter of the rectangle. (100) Answer: 108 in. (100) (200) AC = 1562 (200) The geometric mean of the quantities (x + 1) and (x – 6) is (x – 2). Find the value of x. (300) X = -10 (300) The ratio of the perimeters of two triangles is 4/7. What is the ratio of the triangles’ areas? (400) Area ratio is 16/49. (400) In the U.S., 4634 million lbs. of apples were consumed in 2002. The population of the U.S. that year was 290 million. What was the per capita consumption? (500) About 16 lbs. per person (500) (100) Scale factor: 1/3 x:18 y:12 (100) The lengths of the legs of right ∆ ABC are 3 ft and 4 ft. The shortest side of ∆UVW is 4.5 ft and ∆UVW~∆ABC. How long is the hypotenuse of ∆UVW? (200) 7.5 ft (200) (300) 12 and 108 (300) (400) 12 (400) Two similar posters have a scale factor of 4:5. The large poster’s perimeter is 85 inches. Find the small poster’s perimeter AND the ratio of their areas. (500) Small perimeter = 68 in Area ratio = 16/25 (500) 2 in (100) 24 (100) (200) 78 (200) Find x and y (300) X=3 Y = 8.4 (300) Find the value of x. (400) X = 4.5 (400) Find length of 4 segments: AG, FC, ED and AE (500) AG = 2 2/3 FC = 7.5 ED = 11.25 AE = 10 (500) Are the triangles similar and EXPLAIN how you know. (100) The vertical angles are congruent. By third angle rd Theorem, 3 angles are congruent. So ∆s are similar. (100) Find the value of x and y. (200) X = 3 1/3 Y = 4 2/3 (200) (300) 900,000 km (300) Round to 100th place (400) KM = 13.33 in MN = 6.67 in. LM = 8.67 in. MP = 4.33 in (400) (500) 10 inches (500) Insert Final Jeopardy Category Here Insert Final Jeopardy Problem Here Pressing the bottom right music icon, will play the Jeopardy theme song Insert Final Jeopardy Answer Here