Question

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

What is the length of AM¯¯¯¯¯¯?

Answer 1

43

Explanation:

→ Set up an equation

2x + 9 = 0.5 ( 8x - 50 )

→ Simplify

2x + 9 = 4x - 25

→ Minus 4x from both sides

-2x + 9 = -25

→ Minus 9 from both sides

-2x = - 34

→ Divide both sides by -2

x = 17

→ Substitute into AM

2 × 17 + 9 = 34 + 9 = 43