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KIM [24]
3 years ago
12

On the graph, trapezoid A has rotated 180 degrees about the origin. Compare the areas of the trapezoids. Justify your answer.

Mathematics
2 answers:
Nikitich [7]3 years ago
6 0

Answer:

D) The areas are equal. A rotation is a rigid transformation, which does not change the size of the original trapezoid. Therefore, the area is preserved.

Step-by-step explanation:

Rigid transformations are transformations that maintain congruence.  They do not change the size or shape of a figure.

Rigid transformations include:

Translations (slide the figure);

Reflections (create a mirror image of the figure);

Rotations (turn the figure).

Since rotations are rigid transformations, this means the measures of all of the sides will be the same; this also means the area will be the same.

telo118 [61]3 years ago
5 0

Answer:

d

Step-by-step explanation:

they are equal

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G = 1, h = 2<br><br> 7 + g − 8 + 2h + 4g
Slav-nsk [51]

Answer:

7+1-8+2(2)+4(1)

= -1+4+4

=7

5 0
2 years ago
Solve each system of linear equations by elimination. <br><br>2v=-5 +10 <br>-15=-3x + 5y​
Burka [1]

Answer:Just solve it. This is Algebra. Not that hard. Use Substation Method

Step-by-step explanation:

3 0
3 years ago
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
aliina [53]

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

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3 0
3 years ago
On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).
Amiraneli [1.4K]

Answer:

y = 3x - 5

Step-by-step explanation:

Points on given line: (-3, 2), (0, 1)

m1 = slope of given line; m = slope of perpendicular

Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3

The slopes of perpendicular lines have a product of -1.

m1 * m = -1

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Slope of perpendicular: m = 3

Point on perpendicular: (3, 4)

y - y1 = m(x - x1)

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Answer: y = 3x - 5

4 0
3 years ago
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Leni [432]
Since 6 + 8 = 14 this is the longest that the third side can be.
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