Question

EFGH is a parallelogram. Find the measure of FG.

Answer 1

Answer:

FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

Answer 2

Based on the property of a parallelogram, the measure of FG is: 47.

Opposite Sides of a Parallelogram

Based on the properties of a parallelogram, the opposite sides of a parallelogram are equal in length.

Therefore:

EH = FG

• Substitute

5z - 18 = 3z + 8

• Combine like terms

5z - 3z = 18 + 8

2z = 26

• Divide both sides by 2

z = 13

FG = 3z + 8

• Plug in the value of z

FG = 3(13) + 8

FG = 47

Learn more about parallelogram on:

https://brainly.com/question/3050890