# math

Points​ P, Q,​ R, and S are collinear. Point Q is between P and​ R, R is between Q and​ S, and PQ overbar congruent RS overbar. If PSequals30 and PRequals23​, what is the value of​ QR

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1. Did you make a sketch?
On mine I let PQ=x, then RS=x
Also let QR=y

so we have:
2x + y = 30
x + y = 23
Just subtract them and you will get y, then sub into the 2nd to get x

pretty simple.

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👨‍🏫
Reiny

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