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Vesna [10]
4 years ago
13

M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM

Mathematics
1 answer:
devlian [24]4 years ago
6 0

Answer:

AM =40

Step-by-step explanation:

Given

AM = 5x + 10

MB = 4x + 16

Required

Determine AM

Since M is the midpoint, we have that;

AM = MB

Substitute values for AM and MB

5x + 10 = 4x + 16

Collect Like Terms

5x - 4x = 16 - 10

x = 6

To solve for AM; substitute 6 for x in AM = 5x + 10

AM = 5 * 6 + 10

AM =30 + 10

AM =40

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