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Marizza181 [45]
3 years ago
11

What set of Reflections and rotations could carry ABCD onto itself?​

Mathematics
2 answers:
Nitella [24]3 years ago
6 0

Reflect over y-axis,reflect over the X axis ,rotate 180°

Option D is the correct option.

<em>Expla</em><em>nation</em><em>:</em>

<em>Let's </em><em>take</em><em> </em><em>point</em><em> </em><em>A</em><em> </em><em>which </em><em>is</em><em> </em><em>(</em><em>4</em><em>,</em><em>-</em><em>1</em><em>)</em>

<em>Reflect</em><em>ion</em><em> </em><em>over</em><em> </em><em>y-</em><em> </em><em>axis </em><em>will</em><em> </em><em>make</em><em> </em><em>this</em><em> </em><em>point</em><em> </em><em>(</em><em>4</em><em>,</em><em>1</em><em>)</em>

<em>Then</em><em>,</em><em> </em><em>reflect</em><em>ion</em><em> </em><em>over</em><em> </em><em>X </em><em>axis</em><em> </em><em>will</em><em> </em><em>make</em><em> </em><em>this</em><em> </em><em>point </em><em>(</em><em>4</em><em>,</em><em>-</em><em>1</em><em>)</em>

<em>After</em><em> </em><em>rota</em><em>tion</em><em> </em><em>of</em><em> </em><em>1</em><em>8</em><em>0</em><em> </em><em>degree</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>get</em><em> </em><em>(</em><em>-</em><em>4</em><em>,</em><em>1</em><em>)</em><em> </em><em>.</em>

<em>Please</em><em> </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>Hope</em><em> </em><em>it </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

AURORKA [14]3 years ago
4 0

Answer:  d) reflect over the x-axis, reflect over y-axis, rotate 180°

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

A reflection over the x-axis and a reflection over the y-axis is the SAME as a rotation of 180°. Together they make a rotation of 360°, which results in the image staying at the same place.

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y)    →    Z' = (x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y)    →    Z'' = (-x, -y)

Rotation of 180° changes the signs of both the x- and y-coordinates

Z'' = (-x, -y)   →     Z''' = (x, y)

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At noon, the minute and hour hands overlap. In how many hours will they overlap again?
nadya68 [22]

24 hours

Because 24 hours equals 1 day or one rotation of the clock

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3 years ago
J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour
san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling :  17 and a half pages per hour

For R L Stone :  15   pages  per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K  in 2 hours  = 35 pages

⇒ The number of pages read per hour  =  35 / 2  = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L  in 3 hours  = 45 pages

⇒ The number of pages read per hour  =  45 / 3  = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling :  17 and a half pages  per hour

For R L Stone :  15   pages  per hour

5 0
4 years ago
Fifty people were surveyed about their favorite pizza topping. The results of the survey are displayed in the circle graph. How
vekshin1
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5 0
3 years ago
Question
IRINA_888 [86]

Answer:

m=\frac{5}{3}

Step-by-step explanation:

Given the following question:

Point A = (-2, -9) = (x1, y1)
Point B = (1, -4) = (x2, y2)

To find the slope of a line, we will need to use the formula for slope or rise over run.

m=\frac{y2-y1}{x2-x1}
m=\frac{-4--9}{1--2} =\frac{5}{3}
m=\frac{5}{3}

The slope of the given line is indeed "5/3."

Hope this helps.

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2 years ago
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IgorLugansk [536]

Answer:

1/24

Step-by-step explanation:

1/3     =     8/24

3/8    =    9/24

9/24 - 8/24 = 1/24

3 0
3 years ago
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