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Rzqust [24]
3 years ago
10

What is the answer to this

Mathematics
2 answers:
amid [387]3 years ago
7 0
<h3>Answer: first choice, \text{ABCD} \cong \text{A'B'C'D'}</h3>

Explanation:

Any rotation will keep the angles the same measure. The amount of rotation doesn't matter, and the center of rotation doesn't affect things either. So if angle A is something like 87 degrees, then angle A' is also 87 degrees. Therefore, angles A and A' pair up and correspond. The same can be said about the other pairs of angles.

So quadrilateral ABCD is congruent to quadrilateral A'B'C'D'. The order of the letters is important so that they align and match up properly.

AlladinOne [14]3 years ago
4 0

Answer:

ABCD ≅ A'B'C'D'

Step-by-step explanation:

When a figure is rotated, its orientation stays the same. This means that the pre-image and the image are labeled in the same direction. Therefore, ABCD ≅ A'B'C'D'

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

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It's C, REVIEW THE EVALUATIVE MODIFIERS

Step-by-step explanation:


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Sergeeva-Olga [200]

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