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3 years ago

A rotation maps point A to A’.

Mathematics

2 answers:

julsineya [31]3 years ago

8 0

C. 180° rotation .................

weeeeeb [17]3 years ago

5 0

Answer: The answer is (C) 180° rotation.

Step-by-step explanation: Given that the point A maps to the point A' by a rotation. We are to select the statement that describes the rotation.

In the given figure, the co-ordinates of point A are (-3, 5) and after rotation, the co-ordinates of point A' are (3, -5).

Therefore, the point (x, y) changes to (-x, -y) after rotation. This is the result of 180° rotation.

Therefore, the point A is rotated through an angle of 180° to reach at the point A'.

Thus, the correct option is (C) 180° rotation.

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In the right triangle ABC shown, c=17ft and angle A=30 degrees Determine side a

jekas [21]

Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: $a = 8.5\sqrt{3}$

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

From the information given, we can build the following relation:

cos(A) = a/c.

$\frac{\sqrt{3}}{2} = \frac{a}{17}$

$a = \frac{17\sqrt{3}}{2}$

$a = 8.5\sqrt{3}$

More can be learned about relations in a right triangle at brainly.com/question/26396675

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1 year ago

What is the slope of this line?

lianna [129]

The slope would be 0.

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3 years ago

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Ainat [17]

Answer:

Step-by-step explanation:

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2 years ago

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Homework due at 12:00<br> I Need Help

Leya [2.2K]

Answer:

Step-by-step explanation:

Slope "m" of a line through points

( $x_{1}$ , $y_{1}$ )

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is m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Slopes of perpendicular lines are opposite reciprocal: $m_{1}$ $m_{2}$ = - 1

~~~~~~~~~~~~~~~

The slope of a line through points (0, 7) and (2, 10)

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or $m_{2}$ = $\frac{12-5}{k-3}$

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