Answer: 10
Work Shown:
ST + TU = SU .... segment addition postulate
(4x-4) + (4x-10) = 5x+1
8x-14 = 5x+1
8x-5x = 1+14
3x = 15
x = 15/3
x = 5
Then use this x value to determine the segment lengths.
- ST = 4x-4 = 4*5-4 = 16
- TU = 4x-10 = 4*5-10 = 10 is the final answer
- SU = 5x+1 = 5*5+1 = 26
As a check: ST+TU = 16+10 = 26 which matches with SU = 26. This confirms ST+TU = SU is the case and it confirms the final answer.