Question

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

Answer 1

`x = 10`

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

`(8)/(x) = (12)/(15)`

Cross Multiply:

`12 * x = 8* 15`

`12x = 120`

Divide both sides by 12

`x = (120)/(12)`

`x = 10`