Questions: In triangle TUV, TU is parallel to WX. Given that VT=21, TU=35, and WX=20, find VW. VW=

In triangle TUV, TU is parallel to WX. Given that VT=21, TU=35, and WX=20, find VW. VW=
Transcript text: In $\triangle T U V, \overline{T U} \| \overline{W X}$. Given that $V T=21, T U=35$, and $W X=20$, find $V W$. \[ V W= \]
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Solution

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Solution Steps

Step 1: Set up the proportion

Since TU is parallel to WX, the triangles VWX and VTU are similar. Therefore, the ratio of corresponding sides is equal. The proportion can be set up as follows:

VW/VT = WX/TU

Step 2: Plug in the given values

Substitute the given values VT = 21, TU = 35, and WX = 20 into the proportion:

VW/21 = 20/35

Step 3: Solve for VW

Multiply both sides of the equation by 21:

VW = (20/35) * 21

VW = (4/7) * 21

VW = 12

Final Answer:

VW = 12

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