# geometry

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If P is the midpoint of RS and RS=17x-8 and RP=8x+1, find the values of x and PS.

• geometry -

clearly
8x+1 = (1/2)(17x-8)
16x + 2 = 17x - 8
-x = -11
x = 11

PS = 17(11)-8 = 179

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