Question

Solve for x

A) x = 25

B) x = 10

C) x = 13

D) x = 5

Answer 1

C

Explanation:

given the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(ST)/(SE)` =
`(SU)/(SF)` ( substitute values )

`(104)/(22+2x)` =
`(117)/(54)` ( cross- multiply )

117(22 + 2x) = 104 × 54 = 5616 ( divide both sides by 117 )

22 + 2x = 48 ( subtract 22 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13