Question

figure jklm is a parallelogram. the measures of line segments mt and tk are shown. what is the value of y? 8y + 18 12y - 10

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $MT = TK$.

Step2: Set up the equation

$8y + 18=12y - 10$.

Step3: Solve for y

First, move the terms with y to one - side: $18 + 10=12y-8y$.
$28 = 4y$.
Then, divide both sides by 4: $y=\frac{28}{4}=7$.

Answer:

7