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Dec

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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 times (y minus x) =

Right! (Applause.)

Explanation

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