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Jacob works as a lifeguard at a local pool. At the beginning of a 12-hour overnight shift, the pool was full, and Jacob began draining it. After 2 hours, the pool was completely empty. He spent 3 hours cleaning the pool and then began filling it up again. The pool finished filling just as his shift ended. Which of the following graphs accurately describes the amount of water in the pool throughout Jacob’s shift?

(F)

(G)

(H)

(J)

(K)

The Correct Answer
Explanation

The lengths of 2 sides are not given in the polygon below. If each angle between adjacent sides measures 90°, then, in meters, what is the perimeter of the polygon?

(F) 75 (G) 90 (H) 95 (J) 400 (K) 450

Correct Answer: G

In the following figure, each circle is tangent to the other two circles, and the two shaded circles are identical to each other. What is the ratio of the shaded region to the nonshaded region?

(A) 1:01(B) 4:05(C) 5:04(D) 4:π(E) π:4

Correct Answer: A

In the hiking trail shown below, X marks the trail's halfway point. If measures 24 kilometers and is the length of , what is the total length, in kilometers, of the trail?

(A) 144 (B) 104 (C) 96 (D) 72 (E) 48

Correct Answer: A

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