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

Answer:

See Explanation

Step-by-step explanation:

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

However, the following will guide you through

Given

$AB = \frac{1}{3}AC$

Required

Determine BC

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

$AB + BC = AC$

Substitute $\frac{1}{3}AC$ for AB

$\frac{1}{3}AC + BC = AC$

Make BC the subject of formula

$BC = AC - \frac{1}{3}AC$

Take LCM

$BC = \frac{3AC - AC}{3}$

$BC = \frac{2AC}{3}$

$BC = \frac{2}{3}AC$

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

Take for instance, AC = 24

BC will be:

$BC = \frac{2}{3} * 24$

$BC = \frac{48}{3}$

$BC = 16$

Or if AC = 12

BC will be:

$BC = \frac{2}{3} * 12$

$BC = \frac{24}{3}$

$BC = 8$

Or if AC = 36

BC will be:

$BC = \frac{2}{3} *36$

$BC = \frac{72}{3}$

$BC = 24$