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aev [14]
3 years ago
6

Triangle ABC undergoes a series of transformations to result in triangle DEF .

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
7 0

question 1 is congruent. 2 is not congruent and 3 is congruent

Mrrafil [7]3 years ago
6 0

Answer: 1) Congruent

2) Not congruent

3) Congruent

Step-by-step explanation:

We know that a rigid transformations preserves side-lengths and angle measures of a figure in such a way that the figure doesn't shrink or get enlarger. It creates congruent figures.

  • The three main rigid transformations are:

    a) reflections, b) rotations, c) translations

On the other hand a dilation changes the size of the image when the scale factor is not equal to 1. It does not produces congruent images.

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Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

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Sample standard deviation:

Here, I am going to expand on the t-distribution.

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df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

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