SlowLexus
SlowLexus SlowLexus
  • 25-06-2018
  • Mathematics
contestada

Point M is the midpoint of AB¯¯¯¯¯ . AM=2x+9, and AB=8x−50.

What is the length of AM¯¯¯¯¯¯ ?

Respuesta :

Supernova
Supernova Supernova
  • 25-06-2018
AM must be a half of AB, because M is the midpoint of AB.

AM = 1/2AB
2x + 9 = 1/2(8x - 50)
Distribute 1/2 to (8x - 50).

2x + 9 = 4x - 25
Subtract 2x from both sides.

9 = 2x - 25
Add 25 to both sides.

34 = 2x
Divide both sides by 2.

x = 17

Now plug x into AM = 2x + 9.
AM = 2(17) + 9
AM = 34 + 9

AM = 43
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sundaresansundarmeen sundaresansundarmeen
  • 13-01-2021

Answer:

The answer is 43, I got it right on my test!

Step-by-step explanation:

Answer Link

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