Question

In the diagram below of triangle QRS, T is a midpoint of Q R and U is a midpointof RS. IfTU = 80 – 8x, and QS = 104 – 9x, what is the measure of TU?

Answer 1

The measure of TU is 24

From the given description, TU is the midpoint of QS , we can write our expression as ;

TU = QS/2

80 - 8x = (104 - 9x) / 2

2(80 - 8x) = 104 - 9x

160 - 16x = 104 - 9x

collect like terms

-16x + 9x = 104 - 160

-7x = -56

x = 8

The measure of TU is :

80 - 8(7)

80 - 56

= 24

Hence, TU is 24

Answer 2

I’m here to help you. Just give me a few mins to look over your question.

Step 01:

Data

TU = 80 – 8x

I’m here to help you. Just give me a few mins to look over your question.

Step 01:

Data