Respuesta :

absor201

Answer:

The value of x = 11

Step-by-step explanation:

Given

  • B is between A and C.
  • AB = x+5
  • BC = 2(x - 3)
  • [tex]{\displaystyle {\overline {AB}[/tex] ≅ [tex]{\displaystyle {\overline {BC}[/tex]

Determining the value of x

As B is between A and C, so

[tex]{\displaystyle {\overline {AB}[/tex] ≅ [tex]{\displaystyle {\overline {BC}[/tex]

as

  • AB = x+5
  • BC = 2(x - 3)

so

x + 5 = 2(x-3)

x+5 = 2x-6

2x-x = 5+6

x = 11

Therefore, the value of x = 11