Answer:
CU = 117
Step-by-step explanation:
Since we have similar triangles, we can use proportions. Put the small triangle sides over the large triangle side.
WC WD
----------- = -------------
WU WV
26 20
----------- = -------------
36x-1 110
Using cross products
26*110 = 20* (36x-1)
Distribute
2860 = 720x - 20
Add 20 to each side
2860+20 = 720x-20+20
2880 = 720x
Divide by 720
2880/720 = 720x/720
4=x
We need to find CU
CU = WU - WC
Substituting in what we know
CU = 36x-1 -26
Since we know x=4
= 36*4 -1 -26
144 - 27
= 117
