angie082302 angie082302
  • 23-01-2019
  • Mathematics
contestada

If ab=4x+9, bc=5x+2, ac=56 find the measure of ab and bc

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sqdancefan
sqdancefan sqdancefan
  • 23-01-2019

Answer:

  ab = 29, bc = 27

Step-by-step explanation:

If we assume that point b lies on line segment ac between points a and c, then the segment sum theorem tells us ...

  ab + bc = ac

  (4x +9) + (5x +2) = 56 . . . . substitute given values

  9x +11 = 56 . . . . . collect terms

  9x = 45 . . . . . . . . subtract 11

  x = 5 . . . . . . . . . . divide by 9

Then the segment lengths are ...

  ab = 4·5 +9 = 29

  bc = 5·5 +2 = 27

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