Respuesta :

fieryanswererft

Answer:

BC = 15

Given following:

  • AC = 23
  • AB = 2x + 2
  • BC = 3x + 6

Set up equation:

[tex]AC = AB + BC[/tex]

[tex]\sf 23 = 2x + 2 + 3x + 6[/tex]

and solve:

[tex]\sf 23 = 5x + 8[/tex]

[tex]\sf 5x = 23 - 8[/tex]

[tex]\sf 5x = 15[/tex]

[tex]\sf x = 3[/tex]

Now find BC:

[tex]\sf 3x + 6[/tex]

[tex]\sf 3(3) + 6[/tex]

[tex]\sf 15[/tex]