Question

solving for unknown values
use parallelogram abcd. what are the values of x and y?
x =
y =
(the parallelogram abcd has side ab labeled 4y - 3, side bc labeled 42, side cd labeled 37, and side da labeled 3x - 9)

Explanation:

Step1: Set equal opposite sides (x)

In a parallelogram, opposite sides are equal. So $3x - 9 = 42$.

Step2: Solve for x

Add 9 to both sides: $3x = 42 + 9 = 51$.
Divide by 3: $x = \frac{51}{3} = 17$.

Step3: Set equal opposite sides (y)

Opposite sides are equal, so $4y - 3 = 37$.

Step4: Solve for y

Add 3 to both sides: $4y = 37 + 3 = 40$.
Divide by 4: $y = \frac{40}{4} = 10$.

Answer:

$x = 17$
$y = 10$