Question

solving for unknown values
use parallelogram abcd. what are the values of x and y?
x =
y =
a
4y - 3
b
3x - 9
42
d
37
c

Explanation:

Step1: Use opposite - sides property

In a parallelogram, opposite sides are equal. So, we set up two equations. For the vertical sides: $3x - 9=42$.

Step2: Solve for x

Add 9 to both sides of the equation $3x - 9=42$: $3x=42 + 9=51$. Then divide both sides by 3: $x=\frac{51}{3}=17$.

Step3: Use opposite - sides property for horizontal sides

For the horizontal sides, $4y-3 = 37$.

Step4: Solve for y

Add 3 to both sides of the equation $4y-3 = 37$: $4y=37 + 3=40$. Then divide both sides by 4: $y=\frac{40}{4}=10$.

Answer:

$x = 17$
$y = 10$