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balu736 [363]
3 years ago
5

In the figure, c || d. what are the measures of angle 1 and angle 2?

Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

Angle 1 = 105

Angle 2 = 75

Step-by-step explanation:

Angle 2 and angle 75 are corresponding angles.

Corresponding angles are equal.

So,

Angle 2 = 75

Angle 1 and angle 2 are linear pair angles.

Angle 1 + Angle 2 = 180

Angle 1 + 75 = 180

Angle 1 = 180 - 75

Angle 1 = 105

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Olegator [25]
180° because it is half of a full circle(360°)
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What is the value of x and the length of DGE
pogonyaev

Answer:

X=3

Line DG =32

I don't know exactly it is right or not

8 0
3 years ago
A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.
nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0
3 years ago
G=4ca-3ba, find a <br>Also plz show how u found the answer.
lina2011 [118]
G=4ca-3ba <=> G=a(4c-3b)

                   <=> a=G/(4c-3b)
8 0
3 years ago
Read 2 more answers
Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards? Write
Temka [501]
It would be 9 1/3 divided by 7/1 or 28/3 * 1/7

It would give you 28/21 which would simplify to 4/3 and still leave you with an improper fraction
4 0
3 years ago
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