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can someone please help I only have less than 30 min left on this assignment

Find AB, BC, and AC.

Part I: The length of line segment AC is 8x - 9. Use the figure below to find the value of x. Show your work.

Part II: Use the solution you found for x in Part I to find AB, BC, and AC. Show your work.

can someone please help I only have less than 30 min left on this assignment Find AB BC and AC Part I The length of line segment AC is 8x 9 Use the figure below class=

Respuesta :

sqdancefan

Answer:

  • x = 5
  • AB = 16
  • BC = 15
  • AC = 31

Step-by-step explanation:

The segment addition theorem tells you ...

  AB + BC = AC

Filling in the expressions for these segments, you have ...

  (3x +1) + (4x -5) = (8x -9)

  3x +1 +4x -5 +9 -7x = 8x -9 +9 -7x . . . add 9 - 7x to both sides of the equation

  5 = x . . . . . . . simplify

__

AB = 3·5 +1 = 16

BC = 4·5 -5 = 15

AC = 8·5 -9 = 31

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