Question

if fj = 6t - 68 and hj = 2t, find the value of t in parallelogram fghi.

Explanation:

Step1: Set segments equal (diag bisect)

In a parallelogram, diagonals bisect each other, so $FJ = HJ$.
Substitute the given expressions:
$6t - 68 = 2t$

Step2: Isolate t variable

Subtract $2t$ from both sides:
$6t - 2t - 68 = 0$
$4t - 68 = 0$

Step3: Solve for t

Add 68 to both sides, then divide by 4:
$4t = 68$
$t = \frac{68}{4}$

Answer:

$17$