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The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?

(A)

(B) 3

(C)

(D) 5

(E) 9

The Correct Answer

A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?

(A) 0(B) (C) (D) (E)

Correct Answer: C

In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. Of the angles BEA, BFA, BGA, BHA, and ∠BDA, which one has the greatest tangent?

(F) ∠BEA (G) ∠BFA (H) ∠BGA (J) ∠BHA (K) ∠BDA

Correct Answer: F

For which of the following values of c will there be 2 distinct real solutions to the equation 5x2 + 16x + c = 0?

(A)3 (B) 9 (C) 14 (D) 15 (E) 20

Correct Answer: A

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