AB= 42
1) Sketching this to better understand
According to the Segment Addition postulate, we can write the following equation:
4x+6 +7x+15 = 120 Combine like terms
11x + 21 = 120
11x = 120 -21
11x=99
x=99/11
Hence, the measure of AB:
AB= 4x +6
AB=4(99/11) +6
AB=36+6
AB= 42