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irina [24]
3 years ago
11

PLEASE HELP ME!! I DONT UNDERSTAND!!

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

\large\boxed{CU=118}

Step-by-step explanation:

ΔUFW and ΔCDW are similar (AA). Therefore the siades are in proportion:

\dfrac{UW}{CW}=\dfrac{VW}{DW}

We have

UW = 36x-1

CW = 26

VW = 110

DW = 20

Substitute:

\dfrac{36x-1}{26}=\dfrac{110}{20}              <em>cross multiply</em>

20(36x-1)=(26)(110)          <em>use distributive property</em>

(20)(36x)+(20)(-1)=2860

720x-20=2860                <em>add 20 to both sides</em>

720x=2880       <em>divide both sides by 720</em>

x=4

UW=36x-1\to UW=36(4)-1=144-1=143

CU = UW - CW

Susbtitute:

CU=143-26=118

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