Question

Solve for x the triangles are similar

Answer 1

Answer:

x = 13

Step-by-step explanation:

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

$\frac{DC}{DU}$ = $\frac{CB}{UT}$ , substitute values

$\frac{11x-13}{60}$ = $\frac{169}{78}$ ( 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