Question

score: 1.25/5 penalty: 0.25 off
question
find the value of x and y in the parallelogram below.
answer
attempt 1 out of 2
x =
y =
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Explanation:

Step1: Use the property of opposite sides of a parallelogram

In a parallelogram, opposite sides are equal.
For the pair of sides with lengths $27$ and $-7x - 8$:
$$27=-7x - 8$$

Step2: Solve the equation for $x$

Add $8$ to both sides:
$$27 + 8=-7x$$
$$35=-7x$$
Divide both sides by $-7$:
$$x=\frac{35}{-7}=-5$$

Step3: Use the property for the other pair of sides

For the pair of sides with lengths $49$ and $y + 10$:
$$49=y + 10$$

Step4: Solve the equation for $y$

Subtract $10$ from both sides:
$$y=49 - 10=39$$

Answer:

$x = -5$; $y = 39$