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Help me find VW and YZ

Help me find VW and YZ-example-1
User Paul Rene
by
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2 Answers

3 votes
VW=35
YZ=50 I believe this is the correct answer
User Believe Me
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3.5k points
5 votes

Answer:

VW=35

YZ=50

Explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

User Erkan BALABAN
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4.1k points