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Schach [20]
3 years ago
12

The triangles are similar. Write a Similarity statement for the triangles

Mathematics
2 answers:
malfutka [58]3 years ago
8 0

Answer:

c

Step-by-step explanation:

big       small

nqr      npm

vlada-n [284]3 years ago
8 0

Answer:

<h2>Third option.</h2>

\triangle NPM \sim \triangle NQR

Step-by-step explanation:

By given, we know that both triangles are similar, that means their sides are proportional and their angle are congruent. However, we need to be careful when we write the similarity statement, because all corresponding vertex must be in the same position.

For example, from the image, we can deduct that the similarities are

\triangle NPM \sim \triangle NQR\\\triangle PMN \sim \triangle QRN\\\triangle MNP \sim \triangle RNQ\\\triangle NMP \sim \triangle NRQ

Each statement is true, based on the similarity provided by the problem.

Now, let's see which option has one of this similarities.

You can observe that the first option is not the right answer because, the triangle NPM doesn't correspond to triangle RNQ.

Similarly, the second choice is not correct, because triangle NPM is no similar to triangle NRQ.

However, the third choice is the right answer, because triangle NPM corresponds to triangle NQR, they are similar.

Therefore, the right answer is the third choice: \triangle NPM \sim \triangle NQR

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If AC = x + 5 and AB = 3x - 1... what is the length of BC?
Hatshy [7]
If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10     |subtract 2 from both sides
3x = 5x - 12      |subtract 5x from both sides
-2x = -12      |divide both sides by (-2)
x = 6

Read more on Brainly.com - brainly.com/question/11324096#readmore
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Help fast please!!! <br><br> 6x + 4 = 2x - 12
mario62 [17]
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3 years ago
You’re baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is i
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Answer:

1/12=x/100

Step-by-step explanation:

1/2=x/100

1*100=100

100 dived by 12 =

8

5 0
3 years ago
Write the equation of the line that passes through the given point and is parallel to the given line.
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Answer:

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Step-by-step explanation:

5 0
3 years ago
With a height of 68 ​in, Nelson was the shortest president of a particular club in the past century. The club presidents of the
Ivahew [28]

Answer:

a. The positive difference between Nelson's height and the population mean is: \\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in.

b. The difference found in part (a) is 1.174 standard deviations from the mean (without taking into account if the height is above or below the mean).

c. Nelson's z-score: \\ z = -1.1739 \approx -1.174 (Nelson's height is <em>below</em> the population's mean 1.174 standard deviations units).

d. Nelson's height is <em>usual</em> since \\ -2 < -1.174 < 2.

Step-by-step explanation:

The key concept to answer this question is the z-score. A <em>z-score</em> "tells us" the distance from the population's mean of a raw score in <em>standard deviation</em> units. A <em>positive value</em> for a z-score indicates that the raw score is <em>above</em> the population mean, whereas a <em>negative value</em> tells us that the raw score is <em>below</em> the population mean. The formula to obtain this <em>z-score</em> is as follows:

\\ z = \frac{x - \mu}{\sigma} [1]

Where

\\ z is the <em>z-score</em>.

\\ \mu is the <em>population mean</em>.

\\ \sigma is the <em>population standard deviation</em>.

From the question, we have that:

  • Nelson's height is 68 in. In this case, the raw score is 68 in \\ x = 68 in.
  • \\ \mu = 70.7in.
  • \\ \sigma = 2.3in.

With all this information, we are ready to answer the next questions:

a. What is the positive difference between Nelson​'s height and the​ mean?

The positive difference between Nelson's height and the population mean is (taking the absolute value for this difference):

\\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in.

That is, <em>the positive difference is 2.7 in</em>.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

To find how many <em>standard deviations</em> is that, we need to divide that difference by the <em>population standard deviation</em>. That is:

\\ \frac{2.7\;in}{2.3\;in} \approx 1.1739 \approx 1.174

In words, the difference found in part (a) is 1.174 <em>standard deviations</em> from the mean. Notice that we are not taking into account here if the raw score, <em>x,</em> is <em>below</em> or <em>above</em> the mean.

c. Convert Nelson​'s height to a z score.

Using formula [1], we have

\\ z = \frac{x - \mu}{\sigma}

\\ z = \frac{68\;in - 70.7\;in}{2.3\;in}

\\ z = \frac{-2.7\;in}{2.3\;in}

\\ z = -1.1739 \approx -1.174

This z-score "tells us" that Nelson's height is <em>1.174 standard deviations</em> <em>below</em> the population mean (notice the negative symbol in the above result), i.e., Nelson's height is <em>below</em> the mean for heights in the club presidents of the past century 1.174 standard deviations units.

d. If we consider​ "usual" heights to be those that convert to z scores between minus2 and​ 2, is Nelson​'s height usual or​ unusual?

Carefully looking at Nelson's height, we notice that it is between those z-scores, because:

\\ -2 < z_{Nelson} < 2

\\ -2 < -1.174 < 2

Then, Nelson's height is <em>usual</em> according to that statement.  

7 0
3 years ago
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