Question

Given that JKLM is a parallelogram, solve for x.

Answer 1

x = 4

set both sides equal to each other:

12x - 22 = 7x - 2

5x - 22 = -2

5x = 20

x = 4

hope that helps

Answer 2

x = 4

Explanation:

In a parallelogram, the opposite sides are equal/congruent. This means that KL and JM are equivalent.

• In other words,
  `7x - 2 = 12x - 22`, and we have to solve for x.

Step 1: Subtract 12x from both sides.

• 
  `7x-2-12x=12x-22-12x`
• 
  `-5x-2=-22`

Step 2: Add 2 to both sides.

• 
  `-5x-2+2=-22+2`
• 
  `-5x=-20`

Step 3: Divide both sides by -5.

• 
  `-5x/-5 = -20/-5`
• 
  `x = 4`

Therefore, x = 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡