Question

PLEASE HELP GEOMETRY!!! M is the midpoint of line segment AB. Find AM, MB, and AB. Draw diagram

Answer 1

AB = 4

MB = 2

AM = 2

Explanation:

M is the midpoint of AB, then AM = MB

or AB = AM + MB

since AM = MB => AB = MB + MB = 2MB

Replace AB = 2x - 2 and MB = (x + 3)/3

2x - 2 = 2[(x + 3)/3]

(2x - 2)/2 = (x + 3)/3

x - 1 = (x + 3)/3

3x - 3 = x + 3

3x - x = 3 + 3

2x = 6

x = 6/2 = 3

AB = 2x - 2 = 2(3) - 2 = 6 - 2 = 4

AM = MB = AB/2 = 4/2 = 2

or MB = (x + 3)/3 = (3 + 3)/3 = 6/3 = 2