Question

if ei = 4u + 34 and gi = 3u + 38, find ei in parallelogram efgh.

Explanation:

Step1: Use parallelogram property

In a parallelogram, the diagonals bisect each other. So, $EI = GI$.
$4u + 34=3u + 38$

Step2: Solve for u

Subtract $3u$ from both sides:
$4u-3u + 34=3u-3u + 38$
$u+34 = 38$
Then subtract 34 from both sides:
$u+34 - 34=38 - 34$
$u = 4$

Step3: Find EI

Substitute $u = 4$ into the expression for $EI$.
$EI=4u + 34=4\times4+34$
$EI = 16 + 34$
$EI=50$

Answer:

$50$