Question

On the number line below, Point B lies somewhere between Points A and C. If AB = \frac{1}{3} AC. Find BC. a 16 b 0 c 8 d 24

Answer 1

See Explanation

Explanation:

The question is incomplete as the number line is not attached.

However, the following will guide you through

Given

`AB = (1)/(3)AC`

Required

Determine BC

First, we need to get the fraction of BC using the following

`AB + BC = AC`

Substitute
`(1)/(3)AC` for AB

`(1)/(3)AC + BC = AC`

Make BC the subject of formula

`BC = AC - (1)/(3)AC`

Take LCM

`BC = (3AC - AC)/(3)`

`BC = (2AC)/(3)`

`BC = (2)/(3)AC`

This implies that you multiply the length of AC by 2/3 to get BC

Take for instance, AC = 24

BC will be:

`BC = (2)/(3) * 24`

`BC = (48)/(3)`

`BC = 16`

Or if AC = 12

BC will be:

`BC = (2)/(3) * 12`

`BC = (24)/(3)`

`BC = 8`

Or if AC = 36

BC will be:

`BC = (2)/(3) *36`

`BC = (72)/(3)`

`BC = 24`