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coolstick
Since SR+ST adds up to RT, we have 2x+7+x-6=100=3x+1. 
Subtracting 1 from both sides, we get 3x=99

Dividing both sides by 3, we have x=33
MrRoyal

A line segment can be divided into subsegments by having points on the line segment. The value of ST is 27 units.

Given that:

[tex]SR= 2x + 7[/tex]

[tex]ST = x -6[/tex]

[tex]RT = 100[/tex]

If S is between R and T, then:

[tex]RT = SR + ST[/tex]

So, we have:

[tex]100 = 2x + 7 + x - 6[/tex]

Collect like terms

[tex]2x +x = 100 - 7+6[/tex]

[tex]3x = 99[/tex]

Divide through by 3

[tex]x = 33[/tex]

Recall that:

[tex]ST = x -6[/tex]

[tex]ST = 33 - 6[/tex]

[tex]ST = 27[/tex]

Hence, the value of ST is 27 units.

Read more about lines and points at:

https://brainly.com/question/1534220

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