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2 years ago

The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

Mathematics

2 answers:

Dennis_Churaev [7]2 years ago

6 0

Answer: The triangles are not congruent because △D′E′F′ is a dilation of △DEF .

Step-by-step explanation:

Rigid motions form congruent figures, the common rigid motions are:

1) translation (moves figure about some distance)

2) reflection (creates mirror image)

3) rotation (rotate figure about some degrees)

Dilation : It does not create congruent images. It creates an image that is the exactly same shape as the original, but have a different size with the help of a scale factor k .

Given : The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

Here the coordinates of the image are increased by using a scale factor 2.

So △D′E′F′ must be an enlargement of △DEF.

⇒△D′E′F′ is a dilation of △DEF

It means : The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Sergeeva-Olga [200]2 years ago

5 0

Answer:

The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Step-by-step explanation:

The rule we have is (x, y)→(2x, 2y). This means that each x-coordinate and each y-coordinate are multiplied by 2. This is a dilation by a factor of 2.

This will stretch the image by a factor of 2; this means the sides will be twice as long. This means they will not be congruent.

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Daniel [21]

equation in slope-intercept form is:

$y=9x+7$

Step-by-step explanation:

The general form of slope-intercept form is:

$y=mx+b$

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In the question we are given slope m=9 and a point(0,7)

We will find b i.e y-intercept

$y=mx+b\\7=9(0)+b\\7=0+b\\b=7$

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8 0

2 years ago

Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%

beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.33$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 5, n = 100$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$M = 2.33*\frac{5}{\sqrt{100}} = 1.165$

So the correct answer is:

1.165.

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2 years ago

Please help this is including substitution and system of equations.

Darina [25.2K]

Answer: I gotcha

Step-by-step explanation:

B, C, C, D, B

I just helped my brother with this

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2 years ago

Cody wants to watch a movie that is 3 hours long he has watched 1/6 of the movie. How much time did Cody spend watching the movi

Anettt [7]

Answer:

3 hours is 60×3=180

1/6 of 180 =180÷ 6= 30

30 mins is the answer

Step-by-step explanation:

if you want to find another position other than 1/6 like 4/6 then you can just times the answer in this case 30 by the amout u need in this case 4 so 4/6 would be 120 which is 2 hours

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2 years ago

26 ptss!! select the expressions that are equivalent to the expression below.

valkas [14]

Answer:

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Step-by-step explanation:

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and for the last one this is just simplifying the radical and if you factor it you realize that, $\frac{750}{512} = \frac{5^3}{8^3}*6$ meaning that you can take the radical off of 5/8 and end up with that final answer

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2 years ago