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In the diagram of NRQ below, SP ∥RQ, NS=12, SR=78, and NP=2. What is the length of NQ?

 Feb 28, 2021
 #1
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Diagram:

 

 Feb 28, 2021
 #2
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JNK is similar to JML, so the ratio of their sides will be the same. Let JL = x. Then,

 \(\frac{7}{6} = \frac{x}{36}\\x=42\)

 Feb 28, 2021

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