figure jklm is a parallelogram. the measures of line segments mt and tk…

QUESTION IMAGE

Question

figure jklm is a parallelogram. the measures of line segments mt and tk are shown.

what is the value of (y)?

1
2
7
8

Explanation:

Response

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Identify the properties of the diagonals

Using the Properties of Parallelograms knowledge point
\[

\begin{aligned} &MT = TK\\ &8y + 18 = 12y - 10 \end{aligned}

\]

Solve the linear equation for y

Using the Solving Linear Equations knowledge point
\[

\begin{aligned} &18 + 10 = 12y - 8y\\ &28 = 4y\\ &y = 7 \end{aligned}

\]
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Answer: