Question

PLEASE HELP

Points A, B, and C lie on line segment AC. The ratio of AB:BC is 3:7, and the length of AC = 120. What is the length of BC?

Answer 1

AB= 12 cm, BC= 8 cm

Explanation:

A:B= C:B=3:2

AB=3/2 BC

AC = 20 = AB+BC

20 = 3/2 BC+BC

1 3/2 = 20

BC=8

AB= 20-8=12

I know this is the correct answer I've completed it and gotten the right answer

Answer 2

`AB:BC=3:7\to AB=3x,\ BC=7x\\\\AB+BC=AC\to3x+7x=120\\\\10x=120\ \ \ |:10\\\\x=12\\\\BC=7x\to BC=7(12)=84`