Question

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

Answer 1

$\frac{4x + 12}{32} = \frac{15}{8} \\ ( = )32x + 96 = 480 \\ ( = )x = 12$

Answer 2

Answer:

x = 12

Step-by-step explanation:

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

$\frac{4x+12}{15}$ = $\frac{32}{8}$ = 4, thus

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

4x = 48 ( divide both sides by 4 )

x = 12