Question

find wx.
28
x
x - 4
5
v
w
x
y

Explanation:

Step1: Set up equation based on segment - addition

Since $VY=28$ and $VY = x+(x - 4)+5$, we have the equation $x+(x - 4)+5=28$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $x+x-4 + 5=2x + 1$. So, $2x+1=28$.

Step3: Solve for $x$

Subtract 1 from both sides: $2x=28 - 1=27$. Then divide both sides by 2, $x=\frac{27}{2}=13.5$.

Step4: Find the length of $WX$

Since $WX=x - 4$, substitute $x = 13.5$ into the expression. $WX=13.5-4=9.5$.

Answer:

$9.5$