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2 years ago

9

A carpenter wants to cut an 84 inches long board into two -pieces such that one piece is twice as long as the other piece. Set a

n equation and find the length of each piece.

1 answer:

finlep [7]2 years ago

8 0

Answer:

The shorter piece is 28 inches

The long piece is 56 inches

Step-by-step explanation:

First, we need to write an equation:

-> Let x be the shorter piece after they are cut.

84 inches = x + 2x

84 inches = 3x

28 inches = x

x = 28 inches

Now we will find the length of each piece,

-> The shorter piece is 28 inches

[] x = 28 inches

-> The long piece is 56 inches

[] 2x = 2(28) = 56 inches

Checking work:

56 + 28 = 84

-> This solution should work

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What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain a

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The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that $x = 7$ , $AB = 4\cdot x - 2$ , $BC = 2\cdot x + 12$ , $DC = 3\cdot x +5$ , $AD = 6\cdot x -16$ , $AC = 4\cdot x + 12$ and $DB = 8\cdot x -10$ , the lengths of each line segment are respectively:

Sides

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$BC = 26$

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$AC = 4\cdot (7) +12$

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3 years ago

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larisa [96]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

4x - 8 > 32

<u>Step 2: Solve for </u><em><u>x</u></em>

Add 8 on both sides: 4x > 40
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Here we see that any value <em>x</em> greater than 10 would work as a solution to the inequality.

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