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In the diagram of LPN below, QM ||PN, QP=32, LM=10, and MN=40. What is the length of LP? L 10 M M 32 40 P N Answet Submit Answer
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In the diagram of LPN below, QM ||PN, QP=32, LM=10, and MN=40. What is the length of LP? L 10 M M 32 40 P N Answet Submit Answer

User Carito
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\begin{gathered} By\text{ thales' theorem} \\ \\ (LQ)/(QP)=(LM)/(MN) \\ \\ (LQ)/(32)=(10)/(40) \\ \\ LQ=(32)/(4) \\ \\ LQ=8 \\ \\ \text{ Thus } \\ LP=LQ+QP \\ LP=8+10 \\ \\ LP=18 \end{gathered}

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