arionescott0531 arionescott0531

11-03-2022
Mathematics

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R is the midpoint of PQ. PR = 6x + 7 and RQ = 3x + 8, find the length of PQ.

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semsee45 semsee45

11-03-2022

Answer:

PQ = 18

Step-by-step explanation:

If R is the midpoint of PQ, then PR = RQ

⇒ 6x + 7 = 3x + 8

⇒ 3x = 1

⇒ x = 1/3

So PR = 6x + 7 = 6(1/3) + 7 = 9

and RQ = 3x + 8 = 3(1/3) + 8 = 9

⇒ PQ = PR + RQ = 9 + 9 = 18

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