Question

If RS = 23 - 2x, ST = 9x - 5 and RT = 39 and S is between R an T, find RS.

Answer 1

Given : RS = 23 - 2x, ST = 9x - 5 and RT = 39 and S is between R an T,

To Find : RS

Solution:

Using Addition of segment postulate

RS + ST = RT

AS S is between R & T

RS = 23 - 2x

ST = 9x - 5

RT = 39

=> 23 - 2x + 9x - 5  = 39

=> 18 + 7x = 39

=> 7x = 21

=> x = 3

RS  = 23 - 2x

=> RS = 23 - 2(3)

=> RS = 23 - 6

=> RS = 17  

RS = 17    

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