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qwelly [4]
3 years ago
9

The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe

et, the area will remain the same. Find the dimensions of the original rectangle.
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
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The top right quadrant
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3 years ago
Need help with this!!
wariber [46]

Answer:

below

Step-by-step explanation:

1) slope = rise / run

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2 - 0 = 2

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2 / 4 = 1/2 so the slope is 0.5 or ½

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3 0
1 year ago
A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
loris [4]

Answer:

Step-by-step explanation:

 

Hi there,

If the boy wants 80 small action figures

that is equivalent to 40 x 7 (as 7 tickets

gives him 2 small action figures)

= 280 tickets.

The 380 tickets he has originally minus the

280 leaves 100 tickets to get 20 large action figures

(100/5)

He will have 80 small and 20 large action figures

80:20 = 4:1

Hope this helps:-)

6 0
3 years ago
Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian m
rodikova [14]

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = \frac{1}{3}

Since, scale factor = \frac{\text{Dimension of the drawing}}{\text{Actual dimension}}

For Steffie,

Actual length of the crate = \frac{\text{Dimension of the drawing}}{\text{Scale factor}}

                                           = \frac{15}{\frac{1}{3}}

                                           = 45 inches

Actual width of the crate = \frac{12}{\frac{1}{3} }

                                         = 36 inches

Since Brian used the scale factor = \frac{1}{9}

Length of the drawing = Actual length × Scale factor

                                     = 45 × \frac{1}{9}

                                    = 5 inches

Width of the drawing = Actual width × Scale factor

                                   = 36 × \frac{1}{9}

                                   = 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

6 0
3 years ago
&lt;2 and ___ are vertical angles.<br> &lt;2 and ___ or ___ are a linear pair<br><br> help me pls.
Lena [83]

It should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

<h3>How to illustrate the information?</h3>

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.

Therefore, it should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

Learn more about vertical angle on:

brainly.com/question/14362353

#SPJ1

7 0
1 year ago
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