if RT = 36, find the value of x

The value of x in the given coordinates is 4
Given;
length of RT = 36
Length of RS = 6x + 1
Length of ST = x + 7
To find:
The value of x is calculated as follows;
|RS| + |ST| = |RT|
6x + 1 + x + 7 = 36
7x + 8 = 36
subtract 8 from both sides of the equation
7x = 36 - 8
7x = 28
divide both sides of the equation by 7
x = 28/7
x = 4
Thus, the value of x is 4
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We want to find the value of x by using what we know about segments.
We will find that the solution is x = 4.
The information that we have is:
RT = RS + ST = 36
And we know that:
RS = 6x + 1
ST = x + 7
Then we can replace these in the RT equation:
RT = RS + ST = 6x + 1 + x + 7 = 36
Then we need solve:
6x + 1 + x + 7 = 36
for x.
(6x + x) + (1 + 7) = 36
7x+ 8 = 36
7x = 36 - 8 = 28
x = 28/7 = 4
x = 4
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