Question

Solve for x, the triangles are similar

Answer 1

x = 12

Explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

`(ES)/(EG)` =
`(ER)/(EF)` , substitute values

`(45)/(12x-3)` =
`(55)/(143)` ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10