Respuesta :

aaronkfeng1218

Answer:24

Step-by-step explanation: AB= x+8, BC=4x-4. They are equal to each other because B is the midpoint of A and C. therefore, we set them to equal, and simplify to 3x=12.(x+8=4x-4,-x, 8=3x-4, +4, 3x=12 ) That means x = 4, and then we plug that into the equations, getting AB and BC are both 12. We add them together and get 24/

moonlightpixie

Answer:

Step-by-step explanation:

given: B is the midpoint of AC

   so,             AB=BC

   i,e,         x + 8 = 4x - 4

                 8 + 4 = 4x - x

                     12  =  3x

                 12/3   = x

                  ∴ x = 4

so, AB = x + 8 = 4 + 8 = 12

     BC = 4x - x =4(4) - 4 = 16 - 4 = 12

                         12        +       12

                     о------------о------------о

                     A              B              C

                             AC = AB + BC = 12 + 12 = 24

                                        AC = 24

Otras preguntas