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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

In the triangles above, 3*(y-x) =

(A) 15
(B) 30
(C) 45
(D) 60
(E) 105

答案和解析

答案：C

解析：

To evaluate the expression 3*(y-x), it is necessary to determine the values of x and y. Since the sum of the measures of the angles of any triangle is 180 degrees, and a right angle has measure 90 degrees, the value of x can be found by solving the equation x + x + 90 = 180. This yields x=45. The value of y can be found by solving the equation y + y + y = 180. This yields y=60. Finally, the values for x and y are substituted into the expression 3*(y-x) to obtain 3*(60-45) = 3*(15) = 45.