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UkoKoshka [18]
3 years ago
8

∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

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Answer:

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Step-by-step explanation:

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3 0
2 years ago
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
anyanavicka [17]

Answer:

95% of the customers  have to wait between 10 minutes and 26 minutes

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minute

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

Now, we can write:

10 = 18-2(4) = \mu - 2(\sigma)\\26 = 18+2(4) = \mu + 2(\sigma)

Thus, by empirical formula, 95% of the data lies within two standard deviations of the mean.

Thus, 95% of the customers  have to wait between 10 minutes and 26 minutes

3 0
3 years ago
What are the odds of choosing a red marble from a bag that contains two blue marbles, one green marble and four red marbles?
Ierofanga [76]

Answer:

4/7.

Step-by-step explanation:

This the question in which marbles have to be taken out of a bag. Odds in another word for probability.

Total number of marbles in the bag = 2 Blue + 1 Green + 4 Red = 7 marbles.

Required marbles = 3 red marbles.

Therefore:

P (a red marble is selected in the first attempt) = Red Marbles / Total Marbles.

P (a red marble is selected in the first attempt) = 4/7.

Therefore, the correct answer is 4/7!!!

8 0
3 years ago
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C) there is no solution
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3 years ago
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hodyreva [135]
My guy I have no idea so I would just cheat sorry

Explaination
7 0
3 years ago
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