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Please show your work thank you

Please show your work thank you-example-1
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User Zugor
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1 Answer

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\displaystyle\\(LM)/(QP)=(NL)/(RQ)\\\\(8)/(12)=(x+7)/(2x+5)\\\\8(2x+5)=12(x+7)\\16x+40=12x+84\\16x-12x=84-40\\4x=44\\\\x=(44)/(4)\\\\\boxed{x=11}\\RQ=2\cdot11+5=22+5\\\boxed{\bf RQ=27~~correct~answer: ~C.}\\\\NL=11+7 = 18\\MN=11+5=16\\PR=2\cdot11+2=22+2=24

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User Robert Fines
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