Question

Please help!!! I'm super confused with this one, show work so that I can figure out what I did wrong.

Answer 1

Answer: The length of CU is 117 units.

Step-by-step explanation:

Given: ΔWCD≈ΔWUV

We know that if two triangles are similar, then their corresponding sides are proportional.

∴ $\frac{WU}{WC}=\frac{WV}{WD}$

$\frac{36x-1}{26}=\frac{110}{20}\\\Rightarrow\ 36x-1=\frac{11}{2}\times26\\\Rightarrow36x-1=143\\\Rightarrow\ 36x=143+1\\\Rightarrow\ 36x=144\\\Rightarrow\ x=4$

∴ WU=$36(4)-1=143$

Also , WU=WC+CU

⇒CU=WU-WC

⇒CU=143-26=117 units