# If RT = 36, find the value of x

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## Question:

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

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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