Suppose s is between r and t. use the segment addition postulate to solve for each variable. rs= 7y-4 , st= y+5 , rt= 28

The values of the variables y, RS, and ST are 3.375, 19.625, and 8.375 respectively given that  RS= 7y-4, ST= y+5, and RT= 28 is 3.375

Suppose that S is between R and T, then:

RS + ST = RT

Given the following expression:

RS= 7y-4 ,

ST= y+5 ,

RT= 28

Substitute the parameter into the expressions above:

7y-4+y+5 = 28

7y+y-4+5 = 28

8y + 1 = 28

Subtract 1 from both sides

8y+1-1 = 28 - 1

8y = 27

y = 27/8

y = 3.375

Get the segment RS

RS = 7y - 4

RS = 7(3.375) - 4

RS = 23.625 - 4

RS = 19.625

Get the segment ST

ST = y+5

ST = 3.375+5

ST = 8.375

Hence the value of the variables y, RS, and ST is 3.375, 19.625, and 8.375 respectively

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