Answer:
The variable y = 2.100
Step-by-step explanation:
Here, we are told to solve for the variable y.
We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;
XZ = XY + YZ
Now, we have that S is between R and T.
Mathematically that means;
RT = RS + ST
from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7
Now, insert these values into the alphabetical equation;
26 = (9y-2) + (y + 7)
26 = 9y-2 + y + 7
26 = 9y+y -2 + 7
26 = 10y + 5
26-5 = 10y
10y = 21
y = 21/10
y = 2.1
Which is y = 2.100 to three decimal places
