Use the number line below, where rs=7y+3, st=2y+9, rt=14y-8a. what is the value of y? y=

From the given line, it can be concluded that:

Doing this, we get that:

Question a:

The length of the sides are:

Since RT is RS added to ST:

The value of y is 4.

Question b:

Replacing y by 4, we find the lengths.

Thus, the lenghts of the segments are:

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We need to use what we know of segments to write and solve equations that will allow us to find the value of y.

The solution is y = 4.

The information given is:

RS = 7y + 3

ST = 2y + 9

RT = 14y - 8

Because S is between R and T, we know that:

RT = RS + ST

So we can replace the equations for each segment above to get:

14y - 8 = (7y + 3) + (2y + 9)

Now we can solve this for y, to do it, let's move all the terms with "y" to the left side.

14y -7y - 2y = 3 + 9 + 8

(14 - 7 - 2)*y = 20

5*y = 20

y = 20/5 = 4

y = 4

We found that the value of y is 4.

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step-by-step explanation: that is the answer

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step-by-step explanation: