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3 years ago

Use the following figure to answer the question. 1 and 4 are _____ angles. corresponding vertical supplementary adjacent

Mathematics

2 answers:

dusya [7]3 years ago

8 0

The two angles are vertical angles because they are on opposite sides of two intersecting lines.
Hope this helps! Have a blessed day!

Elenna [48]3 years ago

6 0

Answer:

vertical angles

Step-by-step explanation:

We need to identify ∠1 and ∠4 are which type of pair of angles .

Since we are given the options :

1, correspoding angles: Corresponding Angles

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

2. vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross), NOT up/down

3. supplementary angles : Two Angles are Supplementary when they add up to 180 degrees

4. adjacent angles:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Thus according to definitions ∠1 and ∠4 are vertical angles

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3 years ago

Which of the following functions best describes this graph?

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The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jon

olga_2 [115]

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

These names account for 9.6% of all U.S. residents.

This means that $p = 0.096$

8 authors in total.

This means that $n = 8$

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is $P(X = 0)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460$

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3 years ago

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Answer:

the answer is 42

Step-by-step explanation:

30-2(-6)

30+12

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Jonathons piggy bank contains 20 nickels 30 quarters and 50 one dollar coins. He picks 20 coins from the bank at random

fredd [130]

Answer:

All in all, Jonathan's piggy bank contains 100 coins. Among these coins, only 50 are one-dollar coins. Therefore, the theoretical probability of picking one-dollar coin from the piggy bank is equal to 50/100 or 1/2.

Similarly, from the experiment, 20 coins were picked and among these there are 12 one-dollar coins. The answer to the second question is therefore 12/20 or 3/5.

Step-by-step explanation:

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