What is the value of x? Show your work and name any similarity postulates or theorems that you use
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These triangles are similar by the AA congruency postulate
So
AC / AB = PR / PQ
[ 3x + 6 ] / 24 = 28 / 32
[ 3x + 6 ] / 24 = 7 / 8 cross-multiply
8 [ 3x + 6 ] = 24 * 7
24x + 48 = 168 subtract 48 from both sides
24x = 120 divide both sides by 24
x = 5
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