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3 years ago

∠ABC = _?_ a) ∠MNP b) ∠PMN c) ∠ NPM d) ∠NMP

Mathematics

2 answers:

Rainbow [258]3 years ago

8 0

Answer:

The correct answer is option a) <MNP

Step-by-step explanation:

It is given a two congruent triangles.

ΔABC and ΔMNP

Corresponding parts of 2 triangles

1). Corresponding sides

AC = MP, AB = MN, and BC = PN

2). Corresponding angles

<ABC = <MNP , <BCA = <MPN and <BAC = <PMN

Therefore <ABC = <MNP

The correct answer is option a) <ABC = <MNP

xenn [34]3 years ago

7 0

Answer:

angle ABC = angle MNP

(See the single curved shape at angle B? Match it to the same one on the other triangle. The same with the double and triple angles. The marks in the middle of the lines work the same way. Lines BC, BA, NM, and NP are all the same length.)

Step-by-step explanation:

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Dafna1 [17]

Answer:

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Step-by-step explanation:

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4 years ago

Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to hav

Svetllana [295]

Answer:

She needs a sample of at least 385.

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 level of $1-\alpha$ , 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 margin of error is:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample should she take to achieve this?

She needs a sample of size at least n.

n is found when M = 0.04.

We do not know the true population proportion, so we use $\pi = 0.5$ , which is the case for which we are going to need the largest sample size.

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

$0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.05\sqrt{n} = 1.96*0.5$

Dividing both sides by 0.05

$\sqrt{n} = 19.6$

$(\sqrt{n})^{2} = 19.6^{2}$

$n = 384.2$

Rounding up

She needs a sample of at least 385.

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3 years ago

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3 years ago

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vovikov84 [41]

Answer: D. 0.981

Step-by-step explanation:

Step 1: For the given data table on x^2

We square all values given to us

Step 2: we repeat Same for Y^2 table too.

Step 3: XY table we multiply x and y

Step 4: we make a summation of them all

Step 5: we input our summer value into our formula.

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3 years ago

The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first

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Answer:

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Step-by-step explanation:

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3 years ago

∠ABC = ___?___ a) ∠MNP b) ∠PMN c) ∠ NPM d) ∠NMP

∠ABC = _?_ a) ∠MNP b) ∠PMN c) ∠ NPM d) ∠NMP