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DB bisects AC at point E.

AE = 4x + 2 and AC = 40. Find x.

1) Write the equation that you will set up to solve for x. (2 points)

2) Solve for x. Show all your work



Answer :

nuhulawal20

The equation setup up to solve for x is 2( 4x + 2 ) = 40 and the numerical value of x is 4.5.

What is the numerical value of x?

A bisector divides segments or angles into two equal halves.

Given the data in the question;

  • AC is bisected at point E
  • AE = 4x + 2
  • AC = 40
  • Numerical value of x = ?

Since AC is bisected at point E and we know that a bisector divides segments or angles into two equal halves.

AC = 2 × AE

Hence

40 = 2( 4x + 2 )

Rewrite the equation such that x will be at the left side.

2( 4x + 2 ) = 40

To solve for x, remove the parenthesis using distributive property.

2( 4x + 2 ) = 40

2×4x + 2×2 = 40

Rewrite the equation such that x will be at the left side.

8x + 4 = 40

Subtract 4 from both sides.

8x + 4 - 4 = 40 - 4

8x = 36

Divide both sides by 8

8x/8 = 36/8

x = 36/8

x = 4.5

Therefore, the equation setup up to solve for x is 2( 4x + 2 ) = 40 and the numerical value of x is 4.5.

Learn more about bisectors here: https://brainly.com/question/17445304

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