M is the midpoint of PQ. PM = 5x+8. PQ = 76. Find the value of x.
2 answers:
Answer:
x = 6
Step-by-step 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:
Step-by-step explanation:
<u>First, let's revise a few definitions.</u>
- Definition of midpoint: The point that is in the middle of a line.
<u>We know that:</u>
- M is the midpoint of PQ
- PM = 5x + 8
- PQ = 76
- 2PM = PQ
<u>Work:</u>
- 2PM = PQ
- => 2(5x + 8) = 76
- => 10x + 16 = 76
- => 10x = 76 - 16
- => 10x = 60
- => x = 6
Hence, the value of x is 6 units.
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