Respuesta :

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

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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https://brainly.com/question/11015073