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AysviL [449]
3 years ago
6

in the diagram,transversal t intersects parallel lines m and n. Classify the given angle pair. then determine each measures.​

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Corresponding angles: ∠2=∠ 6  ;  ∠1 = ∠5 ;    ∠4 = ∠8;  ∠3 =∠7

Vertically opposite angles: ∠1 = ∠3;  ∠2 = 4;  ∠5 = ∠7 ;  ∠6 = ∠8

Interior angles : ∠4, ∠3 , ∠6, ∠7

alternate interior angles are equal: ∠3 = ∠5 ;  ∠4 = ∠6

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A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence inter
jasenka [17]

Answer:

The 80% confidence interval for the mean

(4.6199 , 4.7801)

Step-by-step explanation:

<u>Explanation</u>:-

Assuming that the population standard deviation for the number of energy drinks consumed each week is 1

Given the Population standard deviation 'σ' = 1

The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7

given sample size 'n' = 256

mean of the sample 'x⁻' = 4.7

<u>confidence interval for the mean</u>

The 80% confidence interval for the mean is determined by

(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\alpha }\frac{S.D}{\sqrt{n} } )

the z-score of 80% level of significance = 1.282

(4.7 - 1.282\frac{1}{\sqrt{256} } , 4.7 + 1.282\frac{1}{\sqrt{256} } )

(4.7 - 0.0801 , 4.7 +0.0801)

(4.6199 , 4.7801)

<u>Conclusion</u>:-

The 80% confidence interval for the mean

(4.6199 , 4.7801)

7 0
4 years ago
What is the answer to 1/2 + 5/6
Allisa [31]

Answer:

The answer is 4/3

Step-by-step explanation:

To get the answer, first give the two fractions common denominators.

1/2 + 5/6

3/6 + 5/6 = 8/6

Now simplify the fraction by division both numbers by 2

8/6 = 4/3

8 0
3 years ago
Read 2 more answers
Can someone please help me, I really need it
eduard

Answer:

∠EGA = 123°

∠EHD = 57°

Step-by-step explanation:

Determine the measure of ∠EGA:

Since ∠EGB and ∠EGA make up the angle of a straight line (180°):

∠EGB+∠EGA = 180

57+∠EGA = 180 (given that ∠EGB = 57°)

∠EGA = 123°

Determine the measure of ∠EHD:

∠EHD = ∠EGB (corresponding angles of parallel lines are equal)

∠EHD = 57° (given that ∠EGB = 57°)

Hope this helps :)

6 0
3 years ago
An experiment is broken up into two parts. In the first part of the experiment, a six-sided die is rolled. In the second part of
Ganezh [65]

Answer:

The answer is %50.

Step-by-step explanation:

Since the rolling of the six-sided die and the tossing of the dime are seperate events, their probabilities do not affect each other. Therefore the probability of the dime landing on tails should be %50.

I hope this answer helps.

5 0
3 years ago
What is 1/2x28? I need help
Viktor [21]
1/2 x 28 is 14. The answer should be 14
6 0
3 years ago
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