Answer:
CU = 117
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{WC}{WU}[/tex] = [tex]\frac{CD}{UV}[/tex]
substituting in values to the ratios
[tex]\frac{26}{36x-1}[/tex] = [tex]\frac{24}{132}[/tex] ( cross- multiply )
24(36x - 1) = 3432 ( divide both sides by 24 )
36x - 1 = 143 ( add 1 to both sides )
36x = 144 ( divide both sides by 36 )
x = 4
CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117
