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In the figure shown below, bisects BAD, and bisects CAE What is the measure of CAD?

(A)30°

(B) 45°

(C) 60°

(D) 90°

(E) Cannot be determined from the given information

The Correct Answer

In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.

On day one of the qualifying rounds, Rusty and Dale start from the same point, but their cars are reversed and each drives opposite ways. Rusty drives at a constant speed that is 8 feet per second faster than Dale's constant speed. Rusty passes Dale for the first time in 150 seconds. Rusty drives at a constant rate of how many feet per second?

(A) 16 (B) 20 (C) 24 (D) 32 (E) 40

Correct Answer: C

Circle A has its center at point (-5,2) with a radius of 2, and circle B is represented by the equation (x + 4)2 + (y-- 2)2 = 9. Where is point (-2,2) located?

(F) Inside circle A only (G) Inside circle B only (H) Inside both circle A and circle B (J) Outside both circle A and circle B (K) Cannot be determined from given information

Correct Answer: G

For all nonzero real numbers a, b, and c, what is the value of a0 + b0 + c0?

(A) Undefined (B) a + b + c (C) 0 (D) 1 (E) 3

Correct Answer: E

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