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if $fh = 2v + 1$ and $fj = 10v - 95$, find $fh$ in parallelogram $ghij$.

Question

if $fh = 2v + 1$ and $fj = 10v - 95$, find $fh$ in parallelogram $ghij$.

Explanation:

Step1: Set segments equal (diag bisect)

$2v + 1 = 10v - 95$

Step2: Solve for v

$1 + 95 = 10v - 2v$
$96 = 8v$
$v = \frac{96}{8} = 12$

Step3: Substitute v into FH

$FH = 2(12) + 1$

Answer:

25