Question

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

Answer 1

`x = 5`

`y = 16`

Explanation:

Given

See attachment for parallelogram

Required

Find variables x and y

Solving for x, we have:

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

`(5x)/(5) = (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`

`(3y)/(3) = (48)/(3)` ---- Divide both sides by 3

`y = 16`