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In the figure below, the lengths of the sides of right triangle BAC are as shown. bisects side . What is the length of DC?

(A)

(B) 2

(C) 3

(D)

(E) 4

The Correct Answer

The day a clothing store puts out a batch of brand-name T-shirts it sells 95 shirts at $4.10 per shirt. However, each day the shirts are on the rack, the store reduces the price of the shirts by $0.02 and consequently sells 1 additional shirt with each price reduction. If x represents the number of $0.02 price reductions, which of the following expressions represents the amount of money, in dollars, that the store will take in daily in sales of these brand name T-shirts?

(A) (4.10 + 2x)(95 + x) (B) (4.10 - 2x)(95 + x) (C) (4.10 + 0.02x)(95 + x) (D) (4.10 - 0.02x)(95 + x) (E) (4.10-- 0.02x)(95 + 0.02x)

Correct Answer: D

What is the least integer value of x that makes the inequality true?

(A)7 (B) 8 (C) 9 (D) 10 (E) 11

Correct Answer: C

In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?

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

Correct Answer: A

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