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Salsk061 [2.6K]
2 years ago
13

In your own words, why will rigid transformations always produce congruent figures? Could non-rigid transformations also produce

congruent figures?
Mathematics
1 answer:
algol132 years ago
6 0

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as t<em>ranslation, reflection and rotation.</em>

Dilation is a non rigid transformation and does not produce congruent figures.

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as t<em>ranslation, reflection and rotation.</em>

Dilation is a non rigid transformation and does not produce congruent figures.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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In 2009, the American Time Use Survey found that the average American spends 2.8 hours a day watching TV. Suppose the standard d
Anit [1.1K]

Answer:

4.72 hours/day

Step-by-step explanation:

Mean time spent watching TV (μ) = 2.8 hours a day  

Standard deviation (σ) = 1.5 hours a day

The 90th percentile (upper 10%) of a normal distribution has an equivalent z-score of roughly z = 1.282. The minimum time spent watching TV, X, at the 90th percentile is:

z=\frac{X-\mu}{\sigma} \\1.282=\frac{X-2.8}{1.5}\\ X=4.72\ hours/day  

On a typical day, you must watch at least 4.72 hours of TV to be in the upper 10%.

8 0
3 years ago
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
FIRST ANSWER GETS BRAINLIEST!!!
maksim [4K]

I believe it is A and C.

There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion.  For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.

I hope this helps!!!

8 0
3 years ago
What is the image point of (−2,5) after a translation right 3 units and up 4 units?
vfiekz [6]

Answer:

(1,9)

Step-by-step explanation:

(-2,5)

3 units right = x +3

4 units up = y + 4

(-2+3, 5+4)

(1,9

5 0
3 years ago
I need to know the steps to solving for x
dmitriy555 [2]
X=10/(2^(1/2)-1)
This is the answer

7 0
3 years ago
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