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find st in parallelogram stuv. st = submit

Question

find st in parallelogram stuv.
st =
submit

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $ST = UV$.
$9w - 83 = 10w - 95$

Step2: Solve for $w$

Rearrange to isolate $w$:
$95 - 83 = 10w - 9w$
$w = 12$

Step3: Calculate length of $ST$

Substitute $w=12$ into $ST=9w-83$:
$ST = 9(12) - 83$
$ST = 108 - 83$

Answer:

$25$