Question

Find the measurement indicated in each parallelogram

UB= x + 4

US= 4x - 8

Find UB


I thought UB = 8, but the study guide says it is 12?

Answer 1

UB = 12

Explanation:

in a parallelogram the diagonals bisect each other , then

UB =
`(1)/(2)` US , that is

x + 4 =
`(1)/(2)` (4x - 8) = 2x - 4 ( subtract x from both sides )

4 = x - 4 ( add 4 to both sides )

8 = x

Then

UB - x + 4 = 8 + 4 = 12