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PLEASE HELP FAST!

Find the length of CU. The triangles are similar.
Show your work.

PLEASE HELP FAST! Find the length of CU. The triangles are similar. Show your work-example-1
User Crisscross
by
4.8k points

1 Answer

3 votes

Answer:

CU = 117

Explanation:

Proportion

WC/WD = WU/WV

Givens

  • WC = 26
  • WD = 20
  • WU = 36x - 1
  • WV = 110

Solution

26/20 = (36x - 1) / 110 Multiply both sides by 110

26 *110/20 = (36x - 1) * 110/110 Simplify

2860/20 = (36x - 1) Remove the brackets

143 = 36x - 1 Add 1 to both sides

143+1 = 36x - 1 + 1

144 = 36x Divide by 36 both sides

144/36 = 36x/36

4 = x

=================

WU = 36*x - 1

WU = 36*4 - 1

WU = 144 - 1

WU = 143

CU = WU - WC

CU = 143 - 26

CU = 117

User JoaMika
by
4.5k points