Question

what is the value of t? t =

Explanation:

Step1: Identify the relationship

Since the line $WY$ is a perpendicular - bisector of $VX$ (the red - dash and right - angle symbols indicate this), we can use the property of the perpendicular bisector theorem. According to the perpendicular bisector theorem, any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. So, $WV = WX$.

Step2: Set up the equation

We are given that $WV = 3t$ and $WX=t + 6$. Setting up the equation based on the equality $WV=WX$, we get $3t=t + 6$.

Step3: Solve the equation

Subtract $t$ from both sides of the equation $3t=t + 6$.
$3t−t=t + 6−t$
$2t=6$
Divide both sides by 2: $\frac{2t}{2}=\frac{6}{2}$
$t = 3$

Answer:

$3$