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lesya692 [45]
3 years ago
8

Point M is the midpoint of segment AB. If AM = 2x + 5 and MB = 5x – 22, find the value of x.

Mathematics
2 answers:
Grace [21]3 years ago
8 0
Having point M as midpoint of segment AB, it only shows that the length of AM is equal to the length MB. Hence, AM = MB

AM = MB
2x + 5 = 5x - 22      ⇒ substitute the values
5 + 22 = 5x - 2x      ⇒ combine like terms
27 = 3x                   ⇒ simplify and divide both sides by 3 to get the value of x
x = 9                       ⇒ Answer
      
Lera25 [3.4K]3 years ago
7 0

Answer:

The answer is x=9

Step-by-step explanation:

2x+5=5x-22

-3x=-27

x=9

Hence, the answer is x=9

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