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5 votes
M is the midpoint of PQ. PM = 5x+8. PQ = 76. Find the value of x.

2 Answers

8 votes

Answer:

x = 6

Explanation:

Since M is the midpoint of PQ

PM = MQ = 1/2 PQ

5x+8 = 1/2(76)

5x+8 = 38

5x = 38-8=30

x = 30/5 = 6

User Russ Tedrake
by
8.6k points
13 votes

Answer:

  • x = 6

Explanation:

First, let's revise a few definitions.

  • Definition of midpoint: The point that is in the middle of a line.

We know that:

  • M is the midpoint of PQ
  • PM = 5x + 8
  • PQ = 76
  • 2PM = PQ

Work:

  • 2PM = PQ
  • => 2(5x + 8) = 76
  • => 10x + 16 = 76
  • => 10x = 76 - 16
  • => 10x = 60
  • => x = 6

Hence, the value of x is 6 units.

User Enrybo
by
7.9k points

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