Respuesta :

Answer:

43

Step-by-step explanation:

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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