Question

if uy = t and wy = 3t - 36, find the value of t in parallelogram uvwx.

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $UY=\frac{1}{2}WY$.
Since $UY = t$ and $WY=3t - 36$, we have the equation $t=\frac{1}{2}(3t - 36)$.

Step2: Solve the equation

Multiply both sides of the equation $t=\frac{1}{2}(3t - 36)$ by 2 to get $2t=3t - 36$.
Then subtract $2t$ from both sides: $0 = 3t-2t - 36$.
Simplify to get $t = 36$.

Answer:

$36$