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You decide to take a wooden board that you
found and create a set of shelves. You split the
board in the middle and use the cut edge to
put against the wall in the corner. The pieces
that you cut measure Zx - 4 in. and
5x + 6 in. The original board measured
2x + 52 in.

Show your work to solve for x

Respuesta :

akposevictor

If 3x - 4 in. and 5x + 6 in. are the measurement of the two pieces that are gotten by splitting a board in the middle that measures 2x + 52 in., the value of x is: 9

Measure of the original wooden board is:

  • 2x + 52 in.

Measure of the two pieces gotten from the original wooden board are:

  • 3x - 4 in.
  • 5x + 6 in.

Thus, the sum of the measure of the two pieces that you cut will be equal to the measure of the original wooden board.

  • Therefore, we would have the following equation:

[tex](3x - 4) + (5x + 6) = 2x + 52[/tex]

  • Solve for x in the equation

[tex]3x - 4 + 5x + 6 = 2x + 52[/tex]

  • Add like terms

[tex]8x - 2 = 2x + 52\\\\8x - 2x = 2 + 52\\\\6x = 54[/tex]

  • Divide both sides by 6

x = 9

Therefore, if 3x - 4 in. and 5x + 6 in. are the measurement of the two pieces that are gotten by splitting a board in the middle that measures 2x + 52 in., the value of x is: 9

Learn more here:

https://brainly.com/question/2805026

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