jrbennett1234 jrbennett1234
  • 16-08-2021
  • Mathematics
contestada

HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.

units

Respuesta :

bdanso117
bdanso117 bdanso117
  • 17-08-2021

Answer:

if m is the midpoint of AB

then,AM will be equal to MB

Therefore,

[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]

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