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klasskru [66]
3 years ago
5

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

Mathematics
1 answer:
givi [52]3 years ago
5 0

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

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