lianadigioia lianadigioia
  • 03-10-2020
  • Mathematics
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Suppose M is the midpoint of PQ. If PM=6x-49 and MQ=47-2x, find PQ
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netizenwebb netizenwebb
  • 03-10-2020

Answer:

PQ = 46

Step-by-step explanation:

PM = 6x - 49

MQ = 47 - 2x

6x - 49 = 47 - 2x

8x - 49 = 47

8x = 96

x = 12

PM = 6x - 49

      = 6(12) - 49

      = 23

MQ = 47 - 2x

      = 47 - 2(12)

      = 47 - 24

      = 23

PQ = PM + MQ

     = 23 + 23

     = 46

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