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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

The Correct Answer
Explanation

For all positive a, b, and image

(A)image (B) image (C) image (D) image (E) image

Correct Answer: E

Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. 试题题库 How many different daily lunch specials are possible?

(A)4 (B)14 (C)30 (D)120 (E)180

Correct Answer: D

A basketball player has attempted 30 free throws and made 12 of them. Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?

(Note: Free-throw percentage =

× 100.)

(A)5 (B) 10 (C) 16 (D) 17 (E) 29

Correct Answer: B

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