Answer:
AB = 42
BC = 78
Step-by-step explanation:
AB = 4x + 6
BC = 7x + 15
AC = 120
A to B plus B to C is the same distance as from A to C, which is 120.
AB + BC = AC
(4x + 6) + (7x + 15) = 120
4x + 7x + 6 + 15 = 120
11x + 21 = 120
Subtract 21 from both sides.
11x = 120 - 21 = 99
11x = 99
Divide both sides by 11.
x = 9
AB = 4x + 6 = 4*9 + 6 = 36 + 6 = 42
BC = 7x + 15 = 7*9 + 15 = 63 + 15 = 78
Answer:
AB = 42
BC = 78
