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Nat2105 [25]
3 years ago
11

parallelogram ABCD is reflected over the y axis, followed by a reflection over the x axis, and then rotated 180 degrees about th

e origin,. What is the location of point A after the transformations are complete? a (-5,-1) b. (5,1) c.(-5,1) d.(5,-1)

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer: Option c.

Step-by-step explanation:

The missing figure is attached.

Given a point (x,y):

1. If it is reflected over the y-axis:

(x,y) → (-x,y)

2. If it is reflected over the x-axis:

(x,y) → (x,-y)

3. If it is rotated 180 degrees about the origin:

(x,y) → (-x, -y)

In this case, you can identify that the point A is:

A(-5,1)

Then:

If it is reflected over the y-axis:

(-5,1) → (5,1)

If then it is reflected over the x-axis:

(5,1) → (5,-1)

Finally, if this is followed by a rotationf of 180 degrees about the origin, this is:

(5,-1) → (-5,1)

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standard form : 2x + y = -2

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PLSSS HELPPP! I will give brainliest and 11 points!!
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If m = 8, what is 4m + 2m?<br><br> Hint: "4m" means "4 TIMES m" and "2m" means "2 TIMES m"
aleksandr82 [10.1K]

Answer:

48

Step-by-step explanation:

4m means 4xm, and 2m means 2xm

Now, if m = 8, 4m means 4x8, and 2m means 2x8. (Technically, substituting the number in place of the variable m)

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3 years ago
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You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x
Vadim26 [7]

Answer:

x = 42°

y = 69°

Step-by-step explanation:

From the picture attached,

Given triangle is an isosceles triangle.

Therefore, two sides will be equal and measure 8 yd.

Measure of 3rd side of the triangle = 6 yd

Perimeter of the garden = 8 + 8 + 6

                                        = 22 yd

In an isosceles triangle, opposite angles of the equal sides will be equal.

Therefore, y = 69°

By the property of interior angles of a triangle,

x° + y° + 69° = 180°

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3 years ago
Find m. Please guys I really need your help :(
vredina [299]

Answer:

m=\sqrt{2} inches

Step-by-step explanation:

From the diagram, it is given that the triangle is a right angle isosceles triangle (angles are 45°, 45° and 90°). This means that the two shorter sides of the triangle are equal in length and that the side m can be found by using the Pythagorean theorem a^{2}+b^{2}=c^{2}.

m^{2}+m^{2}=2^{2} (The two shorter sides of the triangle are equivalent)

2m^{2}=4

m^{2}=2

m=\sqrt{2} inches

I hope this helps :)

8 0
3 years ago
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