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find sv in parallelogram stuv. sv =

Question

find sv in parallelogram stuv.
sv =

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $2b+26 = 10b-62$.

Step2: Solve for $b$

Rearrange to isolate $b$:
$26 + 62 = 10b - 2b$
$88 = 8b$
$b = \frac{88}{8} = 11$

Step3: Substitute $b$ into $SV$ expression

$SV = 8b - 61$, substitute $b=11$:
$SV = 8(11) - 61$

Step4: Calculate final value

$SV = 88 - 61 = 27$

Answer:

27