Question

grams
figure jklm is a parallelogram. the measures of line segments mt
and tk are shown.
what is the value of y?

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(MT = TK\).
$$8y + 18=12y - 10$$

Step2: Solve the equation for \(y\)

Subtract \(8y\) from both sides:
$$18 = 4y-10$$
Add \(10\) to both sides:
$$28 = 4y$$
Divide both sides by \(4\):
$$y=\frac{28}{4}=7$$

Answer:

\(7\)