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Archy [21]
3 years ago
13

How do you find the angle measure?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

∠ XYZ = 41°

Step-by-step explanation:

∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus

8x - 15 = 3x + 20 ( subtract 3x from both sides )

5x - 15 = 20 ( add 15 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Thus

∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°

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Given z1 and z2 below. Calculate z1/z2 and write your answer in rcistheta form.
andre [41]

Answer:

  (2/9)cis(30°)

Step-by-step explanation:

We can express the two numbers in magnitude∠angle form, then find their ratio.

  |z1| = 3√((-1)² +(√3)²) = 3√4 = 6

  ∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°

  z2 = 27∠90°

So, the ratio is ...

  z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)

  z1/z2 = (2/9)∠30°

8 0
3 years ago
Logarithmic and exponential functions are used in which of the following areas
3241004551 [841]

Answer:

exist in areas like physical science, electronics, business, and social sciences. hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The runnin
patriot [66]

Answer:

Option B is correct.

Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Step-by-step Explanation:

The clear, complete table For this question is presented in the attached image to this solution.

It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.

In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.

The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.

Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.

Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.

Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Hope this Helps!!!

7 0
3 years ago
Try to prove the hypothesis from part B that the sum of a rational and an irrational number is an irrational number.
Maurinko [17]

The next step of your proof is to subtract (a/b) from both sides.

Then you get, x = (m/n) - (a/b)

Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.

Therefore, x (an irrational number) = a rational number                            <em>This is a false statement which is a contradiction. So, the assumption was incorrect.</em>

Thus, the sum of a rational and irrational number is an irrational number. QED

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3 years ago
What can you assume about the number of adenine
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The numbers are 5,2,65
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3 years ago
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