Answer:
AB=15 BC=60
Step by step:
AB+BC=AC
AC=75
Plug in AC to the equation: AB+BC=75
BC=4(ab)
Plug in BC into the equation: AB+4(AB)=75
Simplify: 5AB=75
Divide each side by 5: AB=15
BC=4(15)=60
Answer: AB = 60, BC = 15
Step-by-step explanation:
AB is 4 times bigger than BC ⇒ AB = 4BC
Use the Segment Addition Property: AB + BC = AC
and substitution (replace AB with 4BC) and (AC with 75) to solve for BC
4BC + BC = 75
5BC = 75
BC = 15
AB = 4BC
= 4(15)
= 60
