Triangle DEF is similar to triangle PQR. Side DE measures 3, side EF measures 7 and side FD measures 9. Side PQ measures 5x – 25 and side QR measures 6x + 4. Find the value of x
1 answer:
For this problem, we can set up a proportion using similarity ratios. We know that triangle DEF is similar to triangle PQR, so we know that DE/PQ = EF/QR = FD/RP: DE/PQ = EF/QR 3/(5x - 25) = 7/(6x + 4) Cross multiplying, we get: 7(5x - 25) = 3(6x + 4) 35x - 175 = 18x + 12 Now, we can solve for x: 35x - 18x = 12 + 175 17x = 187x = 11 So, x is 11.
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