Question

Solve for x the triangles are similar

Answer 1

x = 13

Explanation:

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

`(DC)/(DU)` =
`(CB)/(UT)` , substitute values

`(11x-13)/(60)` =
`(169)/(78)` ( cross- multiply )

78(11x - 13) = 10140 ( divide both sides by 78 )

11x - 13 = 130 ( add 13 to both sides )

11x = 143 ( divide both sides by 11 )

x = 13