Answer:
SU = 24
Explanation:
given T is on the segment SU , then
ST + TU = SU , that is
3x + 2 + 3x + 4 = 5x + 9
6x + 6 = 5x + 9 ( subtract 5x from both sides )
x + 6 = 9 ( subtract 6 from both sides )
x = 3
Then
SU = ST + TU
= 3x + 2 + 3x + 4
= 6x + 6 ( substitute x = 3 )
= 6(3) + 6
= 18 + 6
= 24