59. Sports An athletic field is a 100 yd-by-40 yd rectangle, with a semicircle at each of the short sides. A running track 10 yd wide surrounds the field. If the track is divided into eight lanes of equal width, what is the distance around the track along the inside edge of each lane?

Standardized Test Prep

SAT/ACT

60. The radius of a circle is 12 cm. What is the length of a 60 ° 60 degrees  arc?
    1. 3 π  cm 3 pi cm
    2. 4 π  cm 4 pi cm
    3. 5 π  cm 5 pi cm
    4. 6 π  cm 6 pi cm
61. What is the image of P for a 135 ° 135 degrees  clockwise rotation about the center of the regular octagon?

    

    6. S
    7. T
    8. U
    9. R
62. Which of the following are the sides of a right triangle?
    1. 6, 8, 12
    2. 8, 15, 17
    3. 9, 11, 23
    4. 5, 12, 15

Extended Response

63. Quadrilateral ABCD has vertices A(1, 1), B(4, 1), C(4, 6), and D(1, 6). Quadrilateral RSTV has vertices R ( − 3 , 4 ) , S ( − 3 , − 2 ) , T ( − 13 − 2 ) , r open negative 3 comma 4 close . comma s open negative 3 comma . negative 2 close comma . t open minus . 13 minus 2 close comma  and V ( − 13 , 4 ) . v open negative 13 comma 4 close .  Show that ABCD and RSTV are similar rectangles.

Mixed Review

See Lesson 10-5.

Part of a regular dodecagon is shown below.

Image Long Description

64. What is the measure of each numbered angle?
65. The radius is 19.3 mm. What is the apothem?
66. What is the perimeter and area of the dodecagon to the nearest millimeter or square millimeter?

Can you conclude that the figure is a parallelogram? Explain.

See Lesson 6-3.

Get Ready! To prepare for Lesson 10-7, do Exercises 70 and 71.

See Lesson 10-6.

70. What is the circumference of a circle with diameter 17 in.?
71. What is the length of a 90 ° 90 degrees  arc in a circle with radius 6 cm?

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