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unicorn1236
So what you would do is: you know that the whole segment equals 29. If you add 4r-3+ r+7= 29. You need to isolate the variable, in this case,r. So you start by combining like terms on one side so you would get 5r + 4=29. Then subtract 4 from both sides. You would then get 5r=25. Divide both sides by 5, and you get r =5
akposevictor

Applying the segment addition postulate, the value of r is: B. 5

Given the following:

FH = 4r - 3

HN = r + 7

FN = 29

Thus, applying the segment addition postulate, we would create the following equation to enable us find the value of r:

FH + HN = FN (segment addition postulate)

  • Substitute

4r - 3 + r + 7 = 29

  • Combine like terms together

4r + r -3 + 7 = 29

5r + 4 = 29

  • Subtract 4 from both sides

5r = 29 - 4

5r = 25

  • Divide both sides by 5

r = 5

Therefore, applying the segment addition postulate, the value of r is: B. 5

Learn more about segment addition postulate on:

https://brainly.com/question/2134445