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find hi in parallelogram hijk. hi = submit

Question

find hi in parallelogram hijk.
hi =
submit

Explanation:

Step1: Set opposite sides equal

In a parallelogram, opposite sides are congruent, so $HI = JK$ and $IJ = HK$. We use $IJ = HK$ to solve for $t$:
$4t - 72 = t$

Step2: Solve for t

Subtract $t$ from both sides:
$4t - t - 72 = 0$
$3t - 72 = 0$
Add 72 to both sides:
$3t = 72$
Divide by 3:
$t = \frac{72}{3} = 24$

Step3: Calculate HI

Substitute $t=24$ into $HI = 4t - 63$:
$HI = 4(24) - 63$

Answer:

15