Respuesta :

absor201

Answer:

The value of x = 12

Step-by-step explanation:

Given

  • AB = x+5
  • BC = 3x+10
  • AC = x+51

As AC is the sum of AB and BC i.e.

  • AC = AB+BC

substituting AC = x+51, AB = x+5, BC = 3x+10

AC = AB+BC

x+51 = x+5 + 3x+10

x+51 = 4x+15

switching sides

4x+15 = x+51

4x-x = 51-15

3x = 36

Divide both sides by 3

3x/3 = 36/3

x = 12

Therefore, the value of x = 12

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