Question

If the measure of AC = 75, what are the lengths of AB and BC?AB is( 5x) and BC (11x-5)

Answer 1

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