Answer:
[tex]\large\boxed{CU=118}[/tex]
Step-by-step explanation:
ΔUFW and ΔCDW are similar (AA). Therefore the siades are in proportion:
[tex]\dfrac{UW}{CW}=\dfrac{VW}{DW}[/tex]
We have
UW = 36x-1
CW = 26
VW = 110
DW = 20
Substitute:
[tex]\dfrac{36x-1}{26}=\dfrac{110}{20}[/tex] cross multiply
[tex]20(36x-1)=(26)(110)[/tex] use distributive property
[tex](20)(36x)+(20)(-1)=2860[/tex]
[tex]720x-20=2860[/tex] add 20 to both sides
[tex]720x=2880[/tex] divide both sides by 720
[tex]x=4[/tex]
[tex]UW=36x-1\to UW=36(4)-1=144-1=143[/tex]
CU = UW - CW
Susbtitute:
[tex]CU=143-26=118[/tex]
