Questions: VW is parallel to UX. Find XY.

Transcript text: $\overline{V W} \| \overline{U X}$. Find $X Y$.

Solution

Solution Steps

Step 1: Set up a proportion

Since $\overline{VW} \parallel \overline{UX}$, we can use the Triangle Proportionality Theorem which states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. So we can set up the proportion: $\frac{YV}{XY} = \frac{VU}{XW}$

We know that $YV = 18$ and $YV + XY = 39$. So, $18 + XY = 39$.

Step 2: Solve for XY

$XY = 39 - 18 = 21$