Question

Solve for x and show full work

Answer 1

x = 8

Explanation:

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

`(RT)/(WU)` =
`(RS)/(WV)` ( substitute values )

`(6x+15)/(28)` =
`(108)/(48)` ( cross- multiply )

48(6x + 15) = 28 × 108 = 3024 ( divide both sides by 48 )

6x + 15 = 63 ( subtract 15 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8