Question

Find the value of each variable in the parallelogram.

Answer 1

Diagonals bisect eachother in a paralleogram

So

• 2u+2=5u-10
• 3u=12
• u=4

And

• v/3=6
• v=6(3)
• v=18

Answer 2

u = 4

v = 18

Explanation:

The diagonals of a parallelogram bisect each other (bisect means to divide into two equal parts).

2u + 2 = 5u - 10

Add 10 to both sides:

⇒ 2u + 12 = 5u

Subtract 2u from both sides:

⇒ 12 = 3u

⇒ 3u = 12

Divide both sides by 3:

⇒ u = 4

`\sf (v)/(3)=6`

Multiply both sides by 3:

⇒ v = 18