Question

find hi in parallelogram hijk.

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - sides are equal. So, $HI = JK$. We set up the equation $4s - 31=2s + 1$.

Step2: Solve for s

Subtract $2s$ from both sides of the equation:
$4s-2s - 31=2s-2s + 1$, which simplifies to $2s-31 = 1$.
Then add 31 to both sides: $2s-31 + 31=1 + 31$, so $2s=32$.
Divide both sides by 2: $\frac{2s}{2}=\frac{32}{2}$, and we get $s = 16$.

Step3: Find the length of HI

Substitute $s = 16$ into the expression for $HI$ (which is $4s-31$).
$HI=4\times16-31$.
First, calculate $4\times16 = 64$.
Then, $HI=64 - 31=33$.

Answer:

33