Page 596 - Algebra 1

18. Write Why is making tables and graphs a good way to show probability distribution? (8 0)
19. Paving A new restaurant is opening in a square building with a side length of (83) s feet. A parking lot surrounds the building in the form of a larger square. The
restaurant sits in the middle of the lot. The plot of land on which the restaurant and parking lot lie has an area of 9s2 + 54s + 81 square feet. How far does the parking lot extend from the building?
*20. Analyze The figure shows the first four right triangles in the Wheel of (85) Theodorus (named after a fifth-century Greek philosopher).
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a. Find the length of the hypotenuse of each of the four triangles.
b. Predict Suppose the pattern of the triangles is continued until the figure contains 10 triangles. Predict what the length of the hypotenuse of the tenth triangle will be.
21. Multiple Choice Which lengths represent the lengths of the sides of a right (85) triangle?
A 3, 4, 6 B √ 13, 5, 12 C √ 15, 7, 8 D 6, 8, 12
22. Error Analysis Students A and B find the midpoint of the line segment with
(86) endpoints P = (12, -5) and Q = (-2, 3). Student A says that the x-coordinate
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of the midpoint is 12 - (-2) = = 7. Student B says that the x-coordinate of the
_2_10 2
midpoint is 12 + (-2) = = 5. Which student is correct? Explain the error. 22
23. Software Agamedesignerisworkingonacomputerbasketballgame.Onthe
(86) computer screen, the coordinates of the corners of the court are (20, 20), (20, 70),
(114, 70), and (114, 20). Find the length of a diagonal of the court to the nearest tenth of a unit.
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O 40 80 120
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Lesson 88 581