AB + BC = AC Segment Addition Postulate
(5x) + (11x - 5) = 75 Substitution
16x - 5 = 75 Simplify (add like terms)
16x = 80 Addition Property of Equality
x = 5 Divison Property of Equality
AB = 5x = 5(5) = 25
BC = 11x - 5 = 11(5) - 5 = 55 - 5 = 50
Answer: AB = 25, BC = 50