Answer :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete but a possibility is that the given parameters are points  on a straight line.

I'll answer base on that assumption.

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

To solve for y, we have that:

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

This gives:

[tex]13y - 21 = 6y + 2 + 2y + 7[/tex]

Collect Like Terms

[tex]13y - 6y - 2y = 21 +2+7[/tex]

[tex]5y = 30[/tex]

Divide both sides by 5

[tex]y = 6[/tex]

To get the measure of each line. Substitute 6 for y in

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

[tex]RS = 6 * 6 + 2 = 36 + 2 = 38[/tex]

[tex]ST = 2*6 + 7 = 12 +7 = 19[/tex]

[tex]RT = 13*6 - 21 = 78 - 21 = 57[/tex]

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