1. If two parallel lines are cut by a transversal, then alternate interior angles are congruent
2. If two parallel lines are cut by a transversal, then corresponding angles are congruent
3. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent
4. If two parallel lines are cut by a transversal, then complementary angles are congruent

Answer:

4,024.076

Step-by-step explanation:

and = Decimal point

0 = tenths 7 = hundredths 6 = thousandths

Answer:

20

Step-by-step explanation:

If a=3, b=7,

4a-5+3a-b-3+2b

= 4(3)-5+3(3)-7-3+2(7)

= 12-5+9-7-3+14

= 20

Answer:

1. Simplified: 7a + b - 8

2. Evaluated: 20

Step-by-step explanation:

4a - 5 + 3a - b - 3 + 2b =

4a + 3a - b + 2b - 5 - 3 =

7a + b - 8

7a + b - 8 = 7 * 3 + 7 - 8 = 21 + 7 - 8 = 20

Answer:

187.5

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

The reason is because I just did the math and I am pretty sure this is right please give me brain list

Answer: 1728

Step-by-step explanation:

12^3 = 144 * 12 = 1728

Answer:

1728

Step-by-step explanation:

12*12*12=1728

Given Expression

\(9v^2-1=-77\)

Step-By-Step Process.

________________

1. Add 1 to both sides of the equation.

\(9v^2-1+1=-77+1\)

________________

2. Simplify.

\(9v^2=-76\)

________________

3. Divide both sides by 9.

\(\frac{9v^2}{9} =\frac{-76}{9}\)

________________

4. Simplify.

\(v^2=-\frac{76}{9}\)

For \(x^2=f(a)\) the solutions are \(x=\sqrt{f(a),} - \sqrt{f(a)} \\\).

\(v=\sqrt{-\frac{76}{9} }, v=-\sqrt{-\frac{76}{9} }\)

_________________

\(\sqrt{-\frac{76}{9}}=\frac{2\sqrt{19} }{3}i\)

\(-\sqrt{-\frac{76}{9} } =-\frac{2\sqrt{19} }{3}i\)

_________________

Solution:

\(v=\frac{2\sqrt{19} }{3}i,v=-\frac{2\sqrt{19} }{3}i\)

Hope this helps!

9,513 rounded off to nearest thousands = 10,000

we have given a four digit number 9,513 to round off to nearest thousands.

steps that should be followed for rounding numbers to the nearest thousand:

round 9,513 to nearest thousands:

∵ hundreds place is 5

∴9,513≈10,000

hence, 9,513 nearest thousands is 10,000

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Answer: 54

Step-by-step explanation: 54/6 = 9 - 4 =5

Answer:

54

Step-by-step explanation:

1. 54 / 6 is 9

2. 9 - 4 is 5

3. Tell this as a riddle to your friends

Step-by-step explanation:

The square root of 4 is simply just 2 or in other words, 4–√

= 2. It is one of those numbers which have a perfect square number. Since it is a perfect square number, the square root of 4 can be found easily.

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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Answer:

To create a box-and-whisker plot, we start by ordering our data (that is, putting the values) in numerical order, if they aren't ordered already. Then we find the median of our data. The median divides the data into two halves. To divide the data into quarters, we then find the medians of these two halves.

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

angle 1= 81

Step-by-step explanation:

corresponding angles

angle 2 = 180-81 = 99

Answer:

aa a  

Step-by-step explanation:

k77

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

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The solution is -2x^2 - 20x - 53 is the standard form of the given vertex form.

Here, we have,

Vertex and standard form of an equation

Given the vertex form of a quadratic equation expressed as:

y = -2(x+5)^2 - 3

The standard form is in the form y = ax^2 + bx + c

Expand the given vertex form

y = -2(x+5)^2 - 3

y = -2(x^2+ 10x + 25) - 3

y = (-2x^2 - 20x - 50) - 3

y = -2x^2 - 20x - 53

Hence the standard form of the given expression is -2x^2 - 20x - 53

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complete question:

Convert the following from vertex to standard form

The transformation needed to show that both circles on the graph are similar is dilation

The equation of a circle that has its center to be (0,0) is:

\(x^2 + y^2 = r^2\)

Where r represents the radius of the circle.

The radius can take any positive value.

Assume r = 5, then the equation becomes

\(x^2 + y^2 = 5^2\)

\(x^2 + y^2 = 25\)

The above can represent the equation of the Ferris wheel

A circle similar to the Ferris wheel can have the following equation

\(x^2 + y^2 = 7^2\)

\(x^2 + y^2 = 49\)

The above circle equation has a radius of 7, and it passes through the center

So, we have:

\(r = 5\) -- radius of the Ferris wheel

\(R = 7\) -- radius of the similar circle

Since both circles pass through the center, either of the circles can be dilated to the other

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Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

Ordinal Scale

Step-by-step explanation:

The Ordinal Scale may be described as a type of measurement scale which is mostly used to convey qualitative differences while depicting level of magnitude and rank between the labels. The order of a ordinal Scale matters even though the difference between each cannot be measured. It is mostly employed to convey ideas such as level satisfaction, happiness, performance, grade and so on. For the categoroea given above :

Excellent represents the peak ; then Good, followed by Average, then, Below Average, and lastly Poor.

The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

Descriptive statistics

Step-by-step explanation:

Descriptive statistics describes and summarizes the basic features of a given dataset. It explains features from a collection of information, it is also said to be a form of summary statistics. Here data is characterized using its properties.

In this case, I was asked to describe my approach to the initial analysis. When describing the analysis plan for the request, I would tell the interviewer to start analysis using descriptive statistics.

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer:

It's either his house or they are the same distance

Step-by-step explanation:

I'm gonna say that they are the same distance from the library because his school is 10 blocks west of the library and his house is 10 blocks east.

Hope this helps!

Answer:

1) At least two equal sides

2) One pair of equal angles

9514 1404 393

Answer:

  x = 43.2

Step-by-step explanation:

Corresponding sides are proportional.

  FE/CE = GE/DE

  x/27 = 40/25

  x = 27(40/25) . . . . multiply by 27

  x = 43.2

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

C = 37.68

Step-by-step explanation:

Circumference of a circle:

C = 2πr

C = 2(3.14)(6)

C = 6.28(6)

C = 37.68