Question

The diagonals of parallelogram QRST intersect at point U. If TU = 9x − 1 and RU = 5x + 3, what is TU?

Answer 1

TU = 8

Explanation:

• the diagonals of a parallelogram bisect each other , then

TU = RU , that is

9x - 1 = 5x + 3 ( subtract 5x from both sides )

4x - 1 = 3 ( add 1 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Then

TU = 9x - 1 = 9(1) - 1 = 9 - 1 = 8