Question

w 1 n y x 2n - 37 find xy. figure is not drawn to scale.

Explanation:

Step1: Set up equation based on line - segment addition

Since $WY=WX + XY$ and $WY = 2n-37$, $WX = 1$, and $XY=n$, we have the equation $2n-37=1 + n$.

Step2: Solve the equation for $n$

Subtract $n$ from both sides of the equation $2n-37=1 + n$. We get $2n - n-37=1 + n - n$, which simplifies to $n-37 = 1$. Then add 37 to both sides: $n-37 + 37=1 + 37$, so $n = 38$.

Step3: Find the length of $XY$

Since $XY=n$, and we found that $n = 38$, then $XY = 38$.

Answer:

38