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Please help me please show your own work not online

Please Help Me Please Show Your Own Work Not Online class=

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Answer:

  x = 5

Step-by-step explanation:

You want to find x when B lies on segment AC and AB=4x+9, BC=5x+2, and AC=56.

Setup

The whole is the sum of the parts.

  AB +BC = AC

  (4x +9) +(5x +2) = 56

  9x +11 = 56 . . . . . . . . . . collect terms

Solution

This is a 2-step linear equation. It can be solved in the usual way.

Step 1 -- add the opposite of the constant on the side with the variable.

  9x +11 -11 = 56 -11

  9x = 45 . . . . . . . . . . simplify

Step 2 -- divide by the coefficient of the variable.

  9x/9 = 45/9

  x = 5 . . . . . . . . . . simplify

The value of x is 5.

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