Question

$ 3x + 20 Given T is the midpoint of SU. Prove x = 5 STATEMENTS REASONS 1. 1. Given 2. ST = TU 2. Definition of midpoint 3. ST = TU 3. Definition of congruent segments 4. 7x = 3x + 20 4. 5. 5. Subtraction Property of Equality 6. x = 5 6.

Answer 1

If T is the midpoint of SU, then ST has to be equal to TU

To prove that x=5, we have to equal both equations:

7x=3x+20

7x-3x=20

4x=20

x=20/4

x=5 ---> TRUE