5.2 Review Worksheet (continued)
24. The operator of a backhoe changes the distance between the cab and the bucket by changing the angle formed by the arms. In which position is the distance from the cab to the bucket greater? Explain.
101°
70°
Cab
Bucket
25. Write a two-column proof.
K
M
Given : JK ≅ NM , KP ≅ MQ , JQ > NP Prove : m ∠ K > m ∠ M
L
J
N
Q
P
5.2.3 The Pythagorean Theorem Find the value of x . Give your answer in simplest radical form. 26. 27.
28.
8
13
7
x
6
x
x
9
x + 1
29. The safety rules for a playground state that the height of the slide and the distance from the base of the ladder to the front of the slide must be in a ratio of 3:5. If a slide is about 8 feet long, what are the height of the slide and the distance from the base of the ladder to the front of the slide? Round to the nearest inch.
8 ft
3 x ft
5 x ft
298
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