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Geometry CC Assignment #10 Ratio and Proportion 1. Two numbers are in a 3:4 ratio. If their sum is 35, find both numbers. 2. Two positive numbers are in a 1:3 ratio. If their product is 75, find both numbers. 3. Two numbers are in a 7:4 ratio. If their difference is 33, find the numbers. 4. The measures of the sides of a triangle are in the ratio 5:6:7. Find the measure of each side if the perimeter of the triangle is 72 inches. 5. The length and width of a rectangle are in the ratio 5:8. If the perimeter of the rectangle is 156 feet, what are the length and width of the rectangle? 6. Two supplementary angles are in a 1:5 ratio. What is the measure of the larger angle? 7 – 11: Find the value of each variable. 7. x 1 8 2 8. 3x 9 15 10. 5p 2p 4 3 2 11. y4 1 9 3 9. 2x 5 x 3 R1. Mr. Santana wants to carpet exactly half of his rectangular living room. He knows that the perimeter of the room is 96 feet and that the length of the room is 6 feet longer than the width. How many square feet of carpeting does Mr. Santana need? R2. Find the area of the triangle to the nearest tenth of a square unit. R3. The lengths of three sides of a triangle are 5, 7 and 8. Can it be a right triangle? Show all work. R4. Can the sides of a triangle be represented by 3, 4, 4? Why or why not? R5. If EFH is an exterior angle of FGH, m EFH = 125, m G = 65, m H = 60, list the sides of FGH in order starting with the shortest. 1. 15, 20 7. 4 R1. 283.5 2. 5, 15 8. 45 R2. 34.6 3. 77, 44 9. –5 R3. No, work 4. 20, 24, 28 10. – 3 R4. No, explain 5. 30, 48 11. 7 R5. GH < GH< FH 6. 30, 150