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B is the midpoint of AC. Determine the value of x and AB.

B is the midpoint of AC. Determine the value of x and AB.-example-1
User Basem
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1 Answer

7 votes

Answers:

x = 7

AB = 47

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Step-by-step explanation:

Since B is the midpoint of AC, this means AB and BC are equal in length

AB = BC

6x+5 = 3x+26

6x-3x = 26-5

3x = 21

x = 21/3

x = 7

Note how

  • AB = 6x+5 = 6*7+5 = 42+5 = 47
  • BC = 3x+26 = 3*7+26 = 21+26 = 47

Both AB and BC are 47 units long. This helps confirm the answers and we can say AC = AB+BC = 47+47 = 94.

User Volker Seibt
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