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The figure below shows the screen of an automobile navigation map. Point A represents the car's starting point, point B represents the driver's intended destination, and point C, the center of the circle, is the car's current position. Currently, point A is 15 miles from point C and 250° clockwise from due north, and point B is 20 miles from point C and 30° clockwise from due north. Which of the following represents the shortest distance (a straight line) between the car's starting point and the driver's desired destination?

(Note: For any ABC in which side a is opposite A, side b is opposite B, and side c is opposite C, the law of cosines applies: c2 = a2

(A)

(B)

(C)

(D)

(E)

The Correct Answer

If x and y are real numbers and 0 < x < y < , which of the following gives the set of all values which could have?

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

Correct Answer: A

In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If PQR is a right angle, then which of the following could be the coordinates of R?

(A) (4,-3) (B) (3, 0) (C) (2, 1) (D) (2, 4) (E) (3, 9)

Correct Answer: E

What is the slope of the line determined by the equation image?

(A)3 (B) 1 (C) image (D) image (E) -3

Correct Answer: C

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