Question

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

Answer 1

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

Answer 2

• 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.