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igomit [66]
3 years ago
5

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. Th

e parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?


They are same-side interior angles, so angle 3 measures 50°.

They are alternate interior angles, so angle 3 also measures 130°.

They are corresponding angles, so angle 3 also measures 130°.

They are alternate exterior angles, so angle 3 measures 50°.

Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

<h2>They are alternate interior angles, so angle 3 also measures 130°.</h2>

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

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Answer:

140

Step-by-step explanation:

30+30=60

40+40=80

60+80=140

4 0
2 years ago
Read 2 more answers
Question in attached file
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13 is C, √10
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14 is C, 9.5 × 10^5 
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it would be a positive 4 degrees F today

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What is the ratio of the number of cups of orange juice to the number of cups of lemon-lime soda?
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In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors a
Pani-rosa [81]

Answer:

0.0545 = 5.45% probability that exactly seven are retired people.

Step-by-step explanation:

For each stock investor, there are only two possible outcomes. Either they are retired people, or they are not. Stock investors are independent. This means that 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.

20% of all stock investors are retired people.

This means that p = 0.2

a. What is the probability that exactly seven are retired people?

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

P(X = 7) = C_{20,7}.(0.2)^{7}.(0.8)^{13} = 0.0545

0.0545 = 5.45% probability that exactly seven are retired people.

4 0
3 years ago
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