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2 years ago

Think carefully about the angle relationship the following represents.

Mathematics

2 answers:

Igoryamba2 years ago

8 0

Linear pair

$\\ \rm\Rrightarrow 2x+48=180$

$\\ \rm\Rrightarrow x+24=90$

$\\ \rm\Rrightarrow x=66$

Complementary angles

$\\ \rm\Rrightarrow 4x+7+35=90$

$\\ \rm\Rrightarrow 4x+42=90$

$\\ \rm\Rrightarrow 4x=48$

$\\ \rm\Rrightarrow x=12$

4x+7=4(12)+7=55°

$\\ \rm\Rrightarrow 3x+54=180$

$\\ \rm\Rrightarrow 3x=126$

$\\ \rm\Rrightarrow x=42$

lisov135 [29]2 years ago

4 0

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

These angles form a linear pair
They are supplementary, and add up to 180°
2x + 48 = 180
2x = 132
x = 66

Subquestion #2

These angles are complementary, and add up to 90°
35 + 4x + 7 = 90
4x + 42 = 90
4x = 48
x = 12

Subquestion #3

As in #1, they are a linear pair, and are supplementary
3x + 54 = 180
3x = 126
x = 42

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3 years ago

The mean percentange of a population of people eating out at least once a week is 57℅

Sidana [21]

Answer:

The correct answer is B. between 56.45% and 57.55%

Complete statement and question:

The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.50%. Assume that a sample size of 40 people was surveyed from the population a significant number of times. In which interval will 68% of the sample means occur?

between 55.89% and 58.11%

between 56.45% and 57.55%

between 56.54% and 57.46%

between 56.07% and 57.93%

Source: brainly.com/question/1068489

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean percentage of a population of people eating out at least once a week = 57%

Standard deviation = 3.5%

Sample size = 40

Confidence level = 68%

2. In which interval will 68% of the sample means occur?

For answering this question, we should find out the standard deviation of the sample, using this formula:

Standard deviation of the sample = Standard deviation of the population/√Sample size

Standard deviation of the sample = 3.5/√40

Standard deviation of the sample = 3.5/6.32

Standard deviation of the sample = 0.55

Let's recall that a confidence level of 68% means that 68% of the sample data would have a value between the mean - 1 time the standard deviation of the sample and the mean + 1 time the standard deviation of the sample. Thus:

57 - 1 * 0.55 = 57 - 0.55 = 56.45

57 + 1 * 0.55 = 57 + 0.55 = 57.55

The correct answer is B. between 56.45% and 57.55%

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3 years ago

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natta225 [31]

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3 years ago

Read 2 more answers