Question

Find the value of each variable so that PQRS is a parallelogram. Explain what allows you to do this.

Answer 1

Answer:

$x = 5$

$y = 16$

Step-by-step explanation:

Given

See attachment for parallelogram

Required

Find variables x and y

Solving for x, we have:

$5x = 25$ ---- Opposite sides of a parallelogram

$\frac{5x}{5} = \frac{25}{5}$ ------ Divide both sides by 5

$x = 5$

Solving for y, we have:

$3y - 1 = 47$ ---- Opposite sides of a parallelogram

$3y = 1 + 47$ ------ Collect like terms

$3y = 48$

$\frac{3y}{3} = \frac{48}{3}$ ---- Divide both sides by 3

$y = 16$