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Lunna [17]
3 years ago
14

△MNP is mapped to △M'N'P' using each of the given rules. For which rules is △MNP congruent to M'N'P'?

Mathematics
1 answer:
White raven [17]3 years ago
4 0

The correct answers between all the choices given are choices a, c, and d. <span>I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.</span>

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The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair
ivann1987 [24]
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
 Therefore, the slope of the line is given by:
 m = 0.4
 Thus, the function that best suits the table is given by:
 f (x) = -4 + 0.4x
 For example, for x = 20 we have:
 f (20) = -4 + 0.4 (20)
 f (20) = -4 + 8
 f (20) = 4
 The result, matches the table.
 Answer:
 The function that is best represented by the scatter plot is: 
 f (x) = -4 + 0.4x
6 0
4 years ago
Read 2 more answers
If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.
xenn [34]

Answer: 142°15'

Explanation:

Supplementary angles are angles that add up to make a straight angle (180^{\circ}).

Therefore, we must find the angle ∠B such that

∠A + ∠B = 180° (1)

We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:

∠B = 180° - ∠A = 180° - 37°45' = 142°15'

So, the correct answer is

142°15'

6 0
4 years ago
Read 2 more answers
Researchers ask a random sample of 1,001 adults nationwide whether they favor or oppose the legalization of marijuana. Fifty-fiv
natima [27]

Answer:

b. It will decrease by a factor of 2

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The lower end of the interval is given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}}

The upper end of the interval is given by:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}}

The length of the interval is the subtraction of the upper end by the lower end, so it is:

L = 2z\sqrt{\frac{\pi(1-\pi)}{n}}

This means that the length is inverse proportional to the square root of the size of the sample.

So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.

4 0
3 years ago
The triangles below are similar. Find x.
Anni [7]

Answer: 105

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

\frac{x}{14}=\frac{97.5}{13}\\\\=\frac{x}{14}=7.5\\\\x=\boxed{105}

8 0
2 years ago
Find the value of 17<br> 33 rounded to the nearest ten-thousandth.
alexira [117]

Answer:

0.5152

Step-by-step explanation:

7 0
3 years ago
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