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Debora [2.8K]
3 years ago
13

Complete the following statement of congruence: MON~= .

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

C. RTS

Step-by-step explanation:

When two triangles are congruent, they will have congruent vertices, like each vertex has a partner.

Take a look at the shape of the triangle.

If you look at the triangle on the right, you can see it is almost like a right triangle.

"R" is at the right angle. "S" is on the short side and "T" is on the long side.

In the triangle on the left, "M" is at the right angle. "N" is on the short side and "O" is on the long side.

Thus, the pairs of congruent angles are:

M ≅ R

O ≅ T

N ≅ S

When you write the statement of congruence between triangles, order the letters by their congruent pair.

MON ≅ RTS

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A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
What is the slope of a line that includes the points (-5, 1) and (-2, 3).
UkoKoshka [18]

Answer:

A

Step-by-step explanation:

Work with the two points

Formula

m = (y2 - y1)/(x2 - x1)

Givens

y2 = 3

y1 = 1

x2 = - 2

x1 = - 5

Solution

m = (3 - 1) / (-2 - - 5)

m = 2 / (-2 + 5)

m = 2 / 3

Answer: A

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The answer is 7 R 4! hoped this helps!
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Answer:

C=x (x+3)

Step-by-step explanation:

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Step-by-step explanation:

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