Answer:
9 units
Step-by-step explanation:
If point S is on the line RT, then RS + ST = RT
Given
RT=x+5
ST=4x−9
RS=x-2
Substitute into the formula
x-2+4x-9 = x + 5
Collect like terms
x+4x-2-9 = x+5
5x - 11 = x + 5
5x - x = 5+11
4x = 16
x = 4
Get RT
RT = x+5
RT = 4 + 5
RT = 9 units
Hence the length of RT is 9 units
