Answer:
x = 13
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{DC}{DU}[/tex] = [tex]\frac{CB}{UT}[/tex] , substitute values
[tex]\frac{11x-13}{60}[/tex] = [tex]\frac{169}{78}[/tex] ( 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
