Question

I don’t know what to do please help!!!

Answer 1

Answer:

$x = 10$

Step-by-step explanation:

Given

$AB = 8$

$AC = x$

$QR = 12$

$QS = 15$

Required

Find x

Because both triangles are similar, we have:

$AB : AC = QR : QS$ --- Equivalent ratios

This gives:

$8 : x = 12 : 15$

Convert to fraction

$\frac{8}{x} = \frac{12}{15}$

Cross Multiply:

$12 * x = 8* 15$

$12x = 120$

Divide both sides by 12

$x = \frac{120}{12}$

$x = 10$