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Airida [17]
3 years ago
7

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c

oincide with its preimage during the rotation?
A.2
B.4
C.6
D.8

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

Answer:

The correct options is A.

Step-by-step explanation:

The each diagonal of an irregular parallelogram divides the parallelogram in two equal and congruent parts. The diagonal bisects each other.

It means, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage during the rotation.

If a irregular parallelogram rotates 360° about the midpoint of its diagonal, then the image of the parallelogram coincide 2 times with its preimage during the rotation.

Therefore the correct option is A.

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Answer:

x=12/6

therefore x=2

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Change 0.61 into a fraction
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The answer to your question is 61/99
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Is 1.32 a rational number or integer
Ivahew [28]

Answer:

A rational number.

Step-by-step explanation

A rational number is a ratio of whole numbers.

1/3 is the ratio of 1:3

3:1 becomes 3/1 = 3

32:10 can be written 32/10 or 16/5 or 3.2

16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.

Therefore, 3.2 which can be expressed as 16/5 is a rational number.

6 0
3 years ago
What the slope and y intercept ? and how did you find it ?
EastWind [94]

Answer:

Slope: m=4

y-intercept: b=-1

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

In this case you can say that:

y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when x=0, y=-1

Therefore, the y-intercept is:

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7 0
3 years ago
John is looking at the eagle on top of a building The height of the building is 120 ft Approximately how many feet is Jack away
bearhunter [10]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A similar question is attached and is solved.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.

A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:

sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image:

let the distance from jack to the base of the building be x, hence:

tan60 = x / 60

x = 60 * tan60 = 104 ft.

8 0
3 years ago
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