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The triangle shown below has a hypotenuse with a length of 13 feet. The measure of A is 20° and the measure of B is 70°. Which of the following is closest to the length, in feet, of ?

(Note: sin 70° ≈ 0.9397
     cos 70° ≈ 0.3420
     tan 70° ≈ 2.747)

(A) 4.4

(B) 5

(C) 12

(D) 12.2

(E) 35.7

When a ≠ b, the expression . Which of the following describes the complete set of x values that make this inequality true?

(A) x = -4 only (B) x = 4 only (C) x = - only (D) x < 0 (E) x > 0

Correct Answer: D

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

The figure below shows a scatterplot of the data in the table and solid lines that are possible models for the data. Which of the 5 lines appears to be the best representation of the data?

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

Correct Answer: D

For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?

(F) b (G) b + 5 (H) 2b (J) (K) 10

Correct Answer: K