Question

HELP ME !!!

Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
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units

Answer 1

if m is the midpoint of AB

then,AM will be equal to MB

Therefore,

`3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = (76)/(6) = (38)/(3) \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( (38)/(3) ) + 3 \\ = 38 + 3 \\ = 41`