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zysi [14]
3 years ago
12

The measures of three of the interior angles of a quadrilateral are 60°, 110°, and 90°. What is the measure of the fourth angle

of this quadrilateral?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

100°

Step-by-step explanation:

all four angles added together total 360°

x = 360° - 60° - 110° - 90°

x = 100°

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Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

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)!}

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939

Probability:

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Probability of the mega number matching:

1 from a set of 27. So

p_M = \frac{1}{27}

Probability of both matching:

Independent events, so we multiply the probabilities:

p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}

1/41416353 probability of all five numbers and the mega number matching the winning numbers

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OLEGan [10]

Answer:

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Step-by-step explanation:

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Answer:

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