Question

1. find wx.

25
v 2x w 14 - x x x y

Explanation:

Step1: Set up equation based on line - segment addition

Since $VY=25$ and $VY = 2x+(14 - x)+x$, we have the equation $2x+(14 - x)+x=25$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $2x+14 - x+x=(2x - x+x)+14=2x + 14$. So, $2x+14 = 25$.

Step3: Solve for $x$

Subtract 14 from both sides: $2x=25 - 14$, so $2x=11$, then $x=\frac{11}{2}=5.5$.

Step4: Find the length of $WX$

The length of $WX$ is given by $14 - x$. Substitute $x = 5.5$ into the expression: $WX=14-5.5 = 8.5$.

Answer:

$8.5$