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asambeis [7]
3 years ago
6

Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the lar

gest angle measure in triangle DEF?
41∘

82∘

123∘

164∘
Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

Option 2) 82°

Step-by-step explanation:

The dilation means the enlargement of the figure or reduction in the size of the figure.

If the scale factor is greater than 1, its an enlargement

If the scale factor is smaller than 1, it is a reduction.

But what ever be the case,

the triangles always remain similar.

Hence the size of the sides changes,

But the size of the angles always remains the same.

Now the largest angle of triangle ABC is 82°.

Hence the largest angle of the triangle DEF shall be 82°.

Second option 82° is the right answer.

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Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and ob
Alexxx [7]

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

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3 years ago
Isaak is writing an explicit formula to represent the sequence.
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In a geometric progression:
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3 years ago
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That would be a right angle 
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