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satela [25.4K]
3 years ago
11

When ABC was dialed by a scale factor of 2, centered at the origin, the result was its image A'B'C' shown on the coordinates pla

ne below. The vertices of A'B'C' are A'(-4,4), B'(-4,6), and C'(2,4)
What are the coordinates of the vertices of ABC?

Explain how you determined the coordinates of the vertices of ABC?

Are ABC and A'B'C' congruent to each other, similar to each other, or neither? Explain how you determined your answer​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

Step-by-step explanation:

In dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (scale factor is 2)

vertices of ABC are A(-2,2), B(-2,3), and C(1,2)

If we multiply by 2 from original to image,

then from image to original we divide by 2

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Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that the mean of the Population = 540HP

Given that the size of the sample  'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

<u><em>Step(ii):-</em></u>

<u><em>Degrees of freedom = n-1 =9-1 =8</em></u>

<u><em>t₀.₀₀₅ = 3.3554</em></u>

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2}  + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )

(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

<u><em>Final answer</em></u> :-

<em>The 99% of a confidence interval for the average maximum HP for the experimental engine.</em>

<em>(536.46, 603.54)</em>

<em></em>

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One solution!

Step-by-step explanation:

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