See Problem 5.

In the diagram, a b = 3 4 . eh over b , equals , 3 fourths , .  Complete each statement. Justify your answer.

27. b a = □ □ b over eh , equals , fraction white square , over white square end fraction
28. 4 a = □ 4 eh equals white square
29. □ □ = b 4 fraction white square , over white square end fraction , equals , b over 4
30. □ □ = 7 4 fraction white square , over white square end fraction , equals , 7 fourths
31. a + b b = □ □ fraction eh plus b , over b end fraction . equals , fraction white square , over white square end fraction
32. b □ = 4 □ fraction b , over white square end fraction , equals , fraction 4 , over white square end fraction

B Apply

Coordinate Geometry Use the graph. Write each ratio in simplest form.

33. A C B D fraction eh c , over b d end fraction
34. A E E C fraction eh e , over e c end fraction
35. slope of E B ¯ e b bar
36. slope of E D ¯ e d bar
37. Think About a Plan The area of a rectangle is 150  in . 2 . 150 , in , . squared , .  The ratio of the length to the width is 3 : 2. Find the length and the width.
    • What is the formula for the area of a rectangle?
    • How can you use the given ratio to write expressions for the length and width?

Art To draw a face, you can sketch the head as an oval and then lightly draw horizontal lines to help locate the eyes, nose, and mouth. You can use the extended ratios shown in the diagrams to help you place the lines for an adult's face or for a baby's face.

38. If A E = 72 eh e , equals 72  cm in the diagram, find AB, BC, CD, and DE.
39. You draw a baby's head as an oval that is 21 in. from top to bottom.
    1. How far from the top should you place the line for the eyes?
    2. Suppose you decide to make the head an adult's head. How far up should you move the line for the eyes?

Algebra Solve each proportion.

40. 1 7 y − 5 = 2 9 y fraction 1 , over 7 y minus 5 end fraction . equals , fraction 2 , over 9 y end fraction
41. 4 a + 1 7 = 2 a 3 fraction 4 eh plus 1 , over 7 end fraction . equals , fraction 2 eh , over 3 end fraction
42. 5 x + 2 = 3 x + 1 fraction 5 , over x plus 2 end fraction . equals . fraction 3 , over x plus 1 end fraction
43. 2 b − 1 4 = b − 2 12 fraction 2 b minus 1 , over 4 end fraction . equals . fraction b minus 2 , over 12 end fraction
44. The ratio of the length to the width of a rectangle is 9 : 4. The width of the rectangle is 52 mm. Write and solve a proportion to find the length.
45. Open-Ended Draw a quadrilateral that satisfies this condition: The measures of the consecutive angles are in the extended ratio 4 : 5 : 4 : 7.
46. Reasoning The means of a proportion are 4 and 15. List all possible pairs of positive integers that could be the extremes of the proportion.
47. Writing Describe how to use the Cross Products Property to determine whether 10 26 = 16 42 10 over 26 , equals , 16 over 42  is a true proportion.
48. Reasoning Explain how to use two different properties of proportions to change the proportion 3 4 = 12 16 3 fourths , equals , 12 over 16  into the proportion 12 3 = 16 4 . 12 over 3 , equals , 16 over 4 , .

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