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If 93 - x = 342, then x = ?

(A)-435

(B) -249

(C) -156

(D) 249

(E) 435

The Correct Answer

Which of the following is (are) equivalent to the mathematical operation a(b - c) for all real numbers a, b, and c? I. ca - ba II. ab - ac III. (b - c)a

(A)II only (B) I and II only (C) I and III only (D) II and III only (E) I, II and III

Correct Answer: D

Daniel is painting a wall in his bedroom. He can cover 36 square feet with 1 gallon of paint. If the wall is 8 feet high and 12 feet long, how many gallons, to the nearest whole gallon, will Daniel need to paint the wall?

(A)20 (B) 16 (C) 12 (D) 4 (E) 3

Correct Answer: E

In the figure below, the circle with center O is tangent to , , , and . The measure of angle BDE is 75° and the measure of DEA is 105°.

The lines in which of the following pairs of lines are necessarily parallel?

I. and

II. and

III. and

(F) I only (G) II only (H) III only (J) I and II only (K) I, II, and III

Correct Answer: G

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