M is the midpoint of segment AB. AM = 3x - 8 and MB = 2x - 1. Find the length of AM.
1 answer:
Answer:
AB = 13 + 13 = 26
Step-by-step explanation:
Since M is the midpoint, we know that AM = MB
Thus,
3x-8 = 2x-1
-2x -2x
x - 8 = -1
+ 8 +8
x = 7
The AM = 3(7) - 8 = 13
The MB = 2(7) - 1 = 13
The length of AB = AM + MB which is AB = 13 + 13 = 26
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