Question

Knowing the properties of a parallelogram solve for the value of y. Show your work to receive

full credit

Answer 1

y = 15/4

Step-by-step explanation:

Parallelogram is a quadrilateral with opposite sides that are parallel and equal in length

Therefore, 9x - 15 = 5x - 3

And, 3x + 4 = 4y - 2

9x - 15 = 5x - 3, solve for x:

Add 15 to both sides: 9x = 5x +12

Subtract 5x from both sides: 4x = 12

Divide both sides by 4: x = 3

Substitute found value for x into 3x + 4 = 4y - 2 and solve for y:

⇒ 3(3) + 4 = 4y - 2

⇒ 9 + 4 = 4y - 2

⇒ 13 = 4y - 2

Add 2 to both sides: 15 = 4y

Divide both sides by 4: y = 15/4

Answer 2

y = 3.75

Step-by-step explanation:

• parallelogram is a quadrilateral with two pairs of parallel sides.

• Here the side 9x - 15 is parallel to side 5x -3, from where we will find x

• Here the side 3x + 4 is parallel to 4y - 2, from where we will find y

Solve:

9x - 15 = 5x - 3

9x - 5x = -3 + 15

4x = 12

x = 3

Solve for y:

3x + 4 = 4y - 2

• now that we know x is 3, insert 3 in place of x

3(3) + 4 = 4y - 2

9 + 4 = 4y - 2

13 + 2 = 4y

y = 15/4

y = 3.75