Question 1153340
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set up and solve an equation to find line np

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Set up and solve an equation to find NP

(where I'm using NP as shorthand for |NP|, the length of line segment NP)

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Hints:
Triangle NMQ is similar to triangle PMR

 MQ / MR = NM / PM
  8 / 10 = 5 / (5 + NP)

Solve for NP