AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP

\(15.99 + 0.74(m)\)

\(15.99 + 0.74(m) = 166.95\)

\(15.99 - 15.99 + 0.74(m) = 166.95 - 15.99\)

\(0.74m = 150.96\)

\( \frac{0.74m}{0.74} = \frac{150.96}{0.74} \)

\(m = 204\)

He drove 204 miles.

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

A sandwich shop charges $20 for delivery of three turkey subs and $26 for delivery of four. There is no proportionality between the quantity of turkey subs delivered and the amount billed.

Given that,

A sandwich shop charges $20 for delivery of three turkey subs and $26 for delivery of four.

We have to find the relation ship between the quantity of turkey subs delivered and the amount billed.

The reciprocal of the ratio of subs to amount charges is

We get,

3/20 and 4/26

Since,  

3/20≠4/26

Therefore, There is no proportionality between the quantity of turkey subs delivered and the amount billed.

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Given the trigonometry equation expressed as;

We are to simplify for the value(s) of 'x"

Recall from trigonometry identity that:

Substitute the result into the original equation to have:

Solve for the value of "x"

The general solution to the given trigonometry function is:

The solution to the equation √(-2x - 5) - 4 = x are x = -7 and x = -3

From the question, we have the following parameters that can be used in our computation:

√(-2x - 5) - 4 = x

So, we have

-2x - 5 = x + 4

Take the square of both sides

so, we have the following representation

x² + 8x + 16 = -2x - 5

Evalyate the like terms

x² + 10x + 21 = 0

When factorized, we have

(x + 7)(x + 3) = 0

This means that

x = -7 and x = -3

Hence, the solutions are x = -7 and x = -3

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Answer:

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54

14: 14, 28, 42, 56

the LCM (least common multiple) is 42.

Throughout my studies in media and current events, I have gained several major learnings that have shaped my understanding of the subject matter.

These include the importance of media literacy and critical thinking, the power and influence of social media, the role of bias in news reporting, the significance of ethical journalism, and the impact of media on shaping public opinion.

1. Media Literacy and Critical Thinking: One of the most crucial learnings is the importance of media literacy and critical thinking skills. It is essential to analyze and evaluate the information presented by media sources, considering their credibility, bias, and potential agenda. Developing these skills enables individuals to make informed judgments and avoid misinformation or manipulation.

2. Power and Influence of Social Media: Another significant learning is recognizing the power and influence of social media in shaping public opinion and disseminating news. Social media platforms have become prominent sources of information, but they also pose challenges such as the spread of fake news and echo chambers. Understanding the impact of social media is crucial for both media consumers and producers.

3. Role of Bias in News Reporting: Media bias is an important factor to consider when consuming news. I have learned that media outlets may have inherent biases, influenced by their ownership, political affiliations, or target audience. Recognizing these biases allows for a more balanced and critical understanding of news content, and encourages seeking diverse perspectives.

4. Significance of Ethical Journalism: Ethics play a fundamental role in responsible journalism. I have learned about the importance of principles such as accuracy, fairness, and accountability in reporting news. Ethical journalism promotes transparency and ensures the public's trust in the media, contributing to a well-informed society.

5. Impact of Media on Shaping Public Opinion: Lastly, I have learned that the media holds a significant role in shaping public opinion and influencing societal attitudes. Through various forms of media, such as news coverage, documentaries, or entertainment, narratives are constructed that can sway public perception on issues ranging from politics to social matters. Recognizing this influence is crucial for media consumers to engage critically with the information they receive and understand the potential impact it can have on society.

These five major learnings have provided me with a comprehensive understanding of media and current events, enabling me to navigate the vast landscape of information and make more informed judgments about the media I consume. They highlight the importance of media literacy, critical thinking, understanding bias, ethical journalism, and the impact media has on public opinion, ultimately contributing to a more well-rounded and discerning approach to media consumption.

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The shape has 4 right angles. This shape is a square (turned 45°). You know this because each vertice intersects on the 3rd unit on the edge of the grid (this might be confusing but it's the only way I can explain). A square has 4 right angles.

It has 4 straight sides. This shape is a polygon, and it has 4 straight sides (polygons must have 3 or more straight sides).

It has 2 pairs of parallel lines. A square always has 2 pairs of parallel lines. The one on the top and the one on the bottom, and the one on the left and the one of the right. If you tilted the square in this picture, you'd see the parallel lines.

4 sides are the same length. On a square, every side is the same length.

The distribution of pn can be considered approximately normal with the current sample size so the researcher does not need to sample any additional adult Americans in order to make this claim.

To determine how many more adult Americans the researcher needs to sample in order to say that the distribution of pn (the sample proportion of adults who respond yes) is approximately normal, we need to consider the sample size requirement for the Central Limit Theorem.

The Central Limit Theorem states that as the sample size increases, the distribution of the sample proportion approaches a normal distribution, regardless of the shape of the population distribution.

However, there is a general rule of thumb that suggests a minimum sample size of 30 for the distribution of sample proportions to be approximately normal.

In this case, the researcher already has a sample size of 50 adult Americans.

Since this exceeds the suggested minimum sample size of 30, the distribution of pn can be considered approximately normal with the current sample size.

Therefore, the researcher does not need to sample any additional adult Americans in order to make this claim.

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Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

\(\sf \rightarrow x + 7 + \dfrac{y}{6} = 29\)

\(\rightarrow \sf x=-\dfrac{y}{6}+22\)

=====================

Condition 2

\(\rightarrow \sf 2y - (x - 5) = 9\)

\(\rightarrow \sf x = 2y -4\)

=====================

Substitute equations

\(\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4\)

\(\rightarrow \sf y=12\)

=====================

Find value of 1st number

\(\rightarrow \sf x = 2y - 4\)

\(\sf \rightarrow x = 2(12) - 4\)

\(\rightarrow \sf x = 20\)

Let the position of the particle be r(t) and the velocity and acceleration of the particle be r'(t) and r''(t), respectively. Given that the particle is moving on a path with constant speed, the magnitude of the velocity is constant.

In other words, r'(t)·r'(t)=constant Differentiating with respect to t,

2r'(t)·r''(t)=0

So,

r'(t)·r''(t)=0

Let the velocity of the particle at t=t0 be given by

r'(t0)=(2,8).

The magnitude of the velocity is given by

|r'(t0)|=√(2^2+8^2)

=√68

So, |r'(t)|=√68 for all t.

Differentiating with respect to t, we get2r'(t)·r''(t)=0So, r'(t)·r''(t)=0 for all t. Therefore, the acceleration of the particle at t=t0 is 0, and the option (a) 0, 0 is correct.

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Answer:

1/2x=40

Step-by-step explanation:

If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.

Using this formula to find the sample

n =Z²π (1-π) ÷ e²

Where:

n =sample size =?

Z =  Z -score for 95% confidence level =1.960

π = Population proportion = 0.08

e = Margin of error = 0.04

Let plug in the formula

n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²

n =  3.8416× 0.08 × 0.92 ÷ 0.0016

n = 176.71

Therefore the sample is 176.71.

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A confidence level is a statistical term that refers to the probability that a population mean or proportion falls within a specific range of values, called the confidence interval. The confidence level is typically expressed as a percentage and is based on the level of certainty desired by the researcher or decision-maker.

A confidence interval is a range of values around a point estimate, such as a sample mean or proportion, that is likely to contain the true population parameter with a specified level of confidence. The confidence interval is constructed by taking the point estimate and adding and subtracting the margin of error, which is based on the standard error of the estimate and the desired level of confidence.

For example, if we estimate the mean height of a population to be 65 inches with a margin of error of 2 inches and a 95% confidence level, the confidence interval would be [63, 67]. This means that we are 95% confident that the true population mean height falls between 63 and 67 inches.

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An integral calculator with steps is a tool that allows you to compute integrals of functions and provides a step-by-step solution to the problem.

This type of calculator is especially useful for students learning calculus, as it allows them to see how the integral is computed and helps them to understand the underlying concepts and techniques.

To use an integral calculator with steps, you typically enter the function you want to integrate and the limits of integration. The calculator then applies a variety of techniques to compute the integral, such as substitution, integration by parts, partial fractions, or trigonometric substitutions.

The output of the calculator usually includes the solution to the integral, as well as a detailed explanation of the steps involved in the computation. Some calculators may also provide graphs of the function and the area under the curve.

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Answer:

(D) C'D' and CD are equal in length

Step-by-step explanation:

When we reflect a line, nothing changes about it except it's position.

The line never gets dilated in any way.

This means that B and C must be incorrect, since they refer to dilating the line.

Now we can think about it. If we reflect a line across the y-axis, that means that the line will be parallel to the original line. This means A is false.

That leaves D.

Hope this helped!

Answer:

7.  it's a or c

8. no solution

9. no solution

Answer:

D. 17/7

Step-by-step explanation:

Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7

Answer:

D:17/7

Step-by-step explanation:

2×3/7

=(7×2+3)/7

=17/7

Answer:

x= 4

y=3

Step-by-step explanation:

its simple

4x+3y=25

x+5y=19

by elimination

-17y=-51

so y = 3

substitute y for 3

then x is 4.

I hope this will help you.

Answer:

X=9

Step-by-step explanation:

X/ Y=X/Y

3/18=x/54

next is simple math

X=9

Answer:

X = 1

AC = 15

Step-by-step explanation:

 AB  +       BC     =  AC

( 3x ) + ( 4x + 8 ) = 7x + 8

Adding AB + BC = AC So adding the like terms of AB and BC will equals the equation of AC.

7x + 8 = 5x + 10      

                      -8

 7x = 5x + 2

-5x

 2x = 2

 /2

x =1

( 5  x  1 ) = 5 + ( 10 ) = 15 AC = 15

Answer:

x = 7

Step-by-step explanation:

Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.

7x - 4 = 5x + 10

add 4 from both sides to get

7x = 5x + 14

subtract 5x from both sides to get

2x = 14

divide both sides by 2 to get

x = 7

Corresponding angles are Same

We want to find the dimensions of the poster such that the area of the whole poster is minimized .These are: Length = 325.2cm and

Width = 17cm

We can assume that the poster is a rectangle, and we know that a rectangle of length L and width W has an area:

A = L*W

Here we do know that the top and bottom margins are 9 cm each.

The side margins are 6cm each.

Then the measures of the printed areas are:

W' = W - 2*6cm = W - 12cm

L' = L - 2*9cm = L - 18cm

And we know that the area of the printed part is 1536 cm^2, then we can write:

A'  = (W - 12cm)*( L - 18cm) = 864 cm^2

      W*L - 12cm*L - 18cm*W + 216cm^2 = 1536 cm^2

      W*L = 12cm*L + 18cm*W + 1320cm^2

And W*L is equal to the area, so what we need to minimize is:

A =  12cm*L + 18cm*W + 1320cm^2

Here we can see that the dependence of the area is larger on W than on L, so what we need to minimize is W.

We will take the smallest value of W such that the given margins are allowed.

That value would be such that:

W - 12cm > 0

W > 12cm

this could (and to be strict, should) be something like 16.0001cm, but let's use 17cm just to use whole numbers, we will get:

W = 17cm

Then to get the length we solve:

W*L = 12cm*L + 18cm*W + 1320cm^2

17cm*L = 12cm*L + 18cm*17cm + 1320cm^2

5cm*L = 1560cm^2

L = 325.2cm

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With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.

Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.

With number = 0, number > 0 is no longer true, so we exit the loop.

Then the print statement simply prints the current value of number, which is 0.

Answer:

The two smaller angles equal 24 and together they equal 48

Step-by-step explanation:

The bisector tells us that the smaller angles equal each other

3x + 6 = 7x - 18  Subtract 3x from both sides

6 = 4x - 18  Add 18 to both sides

24 = 4x  Divide both sides by 4

6 = x

Now, plug 6 back into each equation.

3x + 6

3(6) + 6

18 + 6

24

7x - 18

7(6) - 18

42 - 18

24

16 is a scale factor of 3 4

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Answer:

.15¢

Step-by-step explanation:

1.20$ total divided by 8 and its .15¢

Answer:

for what

Step-by-step explanation:

i didnt see anything

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

Answer:

43

Step-by-step explanation:

please mark me as the brainliest

Answer:

5*10+(-7)

50+(-7)

43

.........,......