Question

The triangles are similar. What is the value of x? Enter your answer in the box. X=

Answer 1

`(4x + 12)/(32) = (15)/(8) \\ ( = )32x + 96 = 480 \\ ( = )x = 12`

Answer 2

x = 12

Explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

`(4x+12)/(15)` =
`(32)/(8)` = 4, thus

4x + 12 = 4 × 15 = 60 ( subtract 12 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12