Question

find the value of each variable in the parallelogram. round your answers to the nearest tenth, if necessary.
9.
10.

Explanation:

Step1: Solve for x (Problem9)

Opposite sides of parallelogram are equal: $x+7=2x-17$
Rearrange: $2x - x = 7 + 17$
$x=24$

Step2: Solve for y (Problem9)

Opposite sides of parallelogram are equal: $4y-12=3y+1$
Rearrange: $4y - 3y = 1 + 12$
$y=13$

Step3: Solve for w (Problem10)

Diagonals of parallelogram bisect each other: $4w-13=21$
Rearrange: $4w=21+13$
$4w=34$
$w=\frac{34}{4}=8.5$

Step4: Solve for y (Problem10)

Diagonals of parallelogram bisect each other: $12y+3=19$
Rearrange: $12y=19-3$
$12y=16$
$y=\frac{16}{12}=\frac{4}{3}\approx1.3$

Answer:

Problem9: $x=24$, $y=13$
Problem10: $w=8.5$, $y\approx1.3$