Determine whether the triangles are similar by AA similarity, SAS similarity, SSS similarity, or not similar.​

For the given equation 4x + 3y =21 the slope intercept form is given by y = (-4/3)x + 7.

Graph is attached.

As given in the question,

Given equation is equal to :

4x + 3y = 21

To get the slope intercept form of the given equation we have,

Subtract 4x from both the sides of the given equation we have,

4x + 3y - 4x = 21 - 4x

⇒ 3y = 21 - 4x

Now divide by 3 on both the sides of the equation we get,

3y / 3 = (-4/3)x + (21/3)

⇒ y = (-4/3) x + 7

Graph of the given equation in slope intercept form y = (-4/3) x + 7 is attached.

When x = 0 ⇒ y = 7

y= 0 ⇒ x = 21 /4

Therefore, for the given equation 4x + 3y =21 the slope intercept form is given by  y = (-4/3)x + 7.

Graph is attached.

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Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer: 60 degrees

Step-by-step explanation: triangles are come to 180 if you add all angles correctly. therefore if you do 180-90-30, you'll get 60.

Answer:

42

Step-by-step explanation:

5²+3(2)+5+6

25+6+5+6

31+11

42

Hope it helps

Answer:

54

Step-by-step explanation:

63 x 2 = 126

180 - 126 = 54

Step-by-step explanation:

4x³ + 19x² + 29x + 14

= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)

= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).

= (x² + 3x + 2)(4x + 7).

Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).

Answer: A. 83.7

Step-by-step explanation:

Answer:

a) 83.7

Step-by-step explanation:

Q) 18.6 × 4.5 = ?

→ 18.6 × 4.5

→ 83.7

So, option (a) is correct.

Answer:

Step-by-step explanation:

Q

(

2

,

1

)

and

R

(

8

,

13

)

is partitioned from

Q

to

R

into a

1

:

2

ratio at point

Z

. What are the coordinates of

Z

?

375π litters of water is needed to fill the cylindrical tank with a diameter of 1.0m and height of 1.5m.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given the data in the question;

Plug the given values into the formula above and solve for V, to determine the liters of water that will fill the tank.

V = π × r² × h

V = π × ( 0.5m )² × 1.5m

V = π × 0.25m² × 1.5m

V = 0.375π m³

Next, convert cubic meters to liters.

V = 0.375π m³ = ( 1000 × 0.375π )L

Volume V = 375π L

Therefore, a volume of 375π litters is needed to fill the tank.

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Answer:

Box 1= 24  Box 2= 28  Box 3= 99( Not sure about box 3, and sorry if it is wrong)

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

The explanation is pretty easy ngl.  You can use the process of elimination but I'll also use math.  It obviously can't be 27 or 9, so it has to be 81 given the 3 possible answers.  Because it's 25 less than 1/3 of the number, you have to add 25 and 2 then multiply the sum to find the answer.  27 times 3 = 81, so that's the answer.  Hope this helps:D

Answer:

81

Step-by-step explanation:

Write the info algebraically:

1/3 of a number = 13x ('of' means times)

25 less = 1/3x - 25

1/3x - 25 = 2

Step 1: Add 25 to both sides

1/3x = 27

Step 2: Divide both sides by 1/3 (or multiply both sides by 3)

x = 27 ÷ 1/3

x = 27 × 3/1

x = 81

Answer = 81

Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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Answer:

Step-by-step explanation:

A=90-64=26 degrees

Then just checking side lengths

sin26/5.4=sin64/AC

AC=5.4sin64/sin26=11.07

sin90/AB=sin26/5.4

AB=5.4sin90/sin26=12.31

So we can confirm that the fourth answer is correct.

Asha's average speed from Ashdown to Carton is 47.3 mph.

The average speed is the quotient of the total distance covered by an object from one location to another, and the time taken for the journey.

The formula for the average speed is distance divided by time.

The number of driving hours from Ashdown to Bridgeton = 4 hours

The average speed Asha used = 50 mph

The distance from Ashdown to Bridgeton = 200 miles (4 x 50)

The distance from Bridgeton to Carton = 60 miles

The total number of miles from Ashdown to Carton = 260 miles

The number of driving hours from Bridgeton to Carton = 1.5 hours (60/40)

The total number of driving hours from Ashdown to Carton = 5.5 hours (4 + 1.5)

The average speed for the journey from Ashdown to Carton = 46.3 mph (260/5.5)

Thus, we can conclude that Asha traveled from Ashdown to Carton at an average speed of 47.3 mph.

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Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

Answer:

Option C is the correct option.

Step-by-step explanation:

\( {36}^{ \frac{1}{2} } \)

Write the number in exponential form with a base of 6

\( =( {6}^{2}) \: ^{ \frac{1}{2} } \)

Simplify the expression by multiplying the exponents

\( = 6\)

Hope this helps..

Best regards!!

Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.

To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).

The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:

2x + 3y = 15

3y = -2x + 15

y = (-2/3)x + 5

The slope of the given line is -2/3.

Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.

Now, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:

y - (-5) = (-2/3)(x - (-3))

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

To convert this equation into slope-intercept form, we can simplify and rearrange:

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

y = (-2/3)x - 2 - 5

y = (-2/3)x - 7

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Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer: $15.49.

Step-by-step explanation: So far, her pizza already costs $13.99 because she chose large.  However, she also ordered two toppings for $0.75 each, which is $1.50.  We need to add $13.99 and $1.50 to find out the total cost of her custom pizza.

$13.99 + $1.50 = $15.49.

Therefore, the total cost of her pizza is $15.49.

Have a great day! :)

Answer:

Step-by-step explanation:

Answer:First, write the expression

✔ p – 5

.

Second,

✔ substitute

7 in for the variable, p.

Third,

✔ simplify

by

✔ subtracting

7 and 5.

The answer is

✔ 2

Step-by-step explanation:

Answer:

10,440

Step-by-step explanation:

There is 12k seats in total. 60 sections containing 200 seats. In 1 section of 200 they counted 174 people. Therefore you multiply 174 by 60. 174 being the people in 1 section and 60 being the total number of sections.

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

fraction negative 3 over 5 is to the right of −0.8 and to the left of 0

Step-by-step explanation:

Answer:supplementary

Step-by-step explanation:

Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.

If a quadrilateral is inscribed in a circle, opposite angles are congruent.

The values of x and y are 98 and 112 degrees respectively.

When a quadrilateral is inscribed in a circle, opposite angles are supplementary angles.

Therefore, the angles of the cyclic quadrilateral are as follows:

x + 82 = 180

x = 180 - 82

x = 98 degrees.

y + 68 = 180

y = 180 - 68

y = 112 degrees.

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Answer:

$2942.27      

I think if i wrong sorry

Step-by-step explanation:                                                                                                                                

Answer:

$2942.27

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The answer is a- 2

Each sales associate working under Golf Realty could potentially face charges related to practicing real estate without a valid license. If Golf Realty allowed their real estate brokerage license to lapse.

Real estate licensing is a legal requirement for individuals involved in real estate transactions, including sales associates. If Golf Realty allowed their real estate brokerage license to lapse and the sales associates continued to practice real estate without a valid license, they could be charged with unauthorized practice of real estate or a similar offense.

The specific charges and legal consequences may vary depending on the jurisdiction and applicable laws. In many jurisdictions, practicing real estate without a license is considered a serious offense as it undermines consumer protection and regulatory requirements. Penalties for unauthorized practice may include fines, license suspension or revocation, and potential civil liability for any harm caused to clients or parties involved in the transactions.

It is important for individuals working in the real estate industry to ensure that they maintain valid licenses and comply with all relevant regulations to avoid potential legal issues. If the sales associates were unaware of the lapsed license and can demonstrate good faith in their actions, it may be taken into consideration during any legal proceedings.

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Distinguish between the Population Regression Function (PRF) and the Sample Regression Function (SRF) are given below.

Here, we have,

The population regression function, also known as the PRF, is a theoretical representation of the relationship that exists between a population's dependent and independent variables. The sample regression function, also known as the SRF, is an estimation of the relationship that exists between a sample's dependent and independent variables.

The Gauss-Markov assumptions that are connected to the traditional linear regression model are that the errors follow a normal distribution, that the errors have a mean of zero, and that the errors do not have any correlation with one another. These presumptions are important due to the fact that they make it possible to employ statistical techniques when estimating the values of the model's parameters. Testing a hypothesis necessitates making a number of assumptions, one of which is that the errors will be of a homoscedastic distribution.

The log-linear form is the functional form that needs to be used in order to get an accurate estimate of the Cobb-Douglas production function. You can test the hypothesis that there is a constant return to scale by testing the hypothesis that the coefficients on the inputs are equal to one. This will allow you to determine whether or not the hypothesis is true.

Population regression function (PRF), a theoretical description of the relationship between a population's dependent and independent variables, is known as the PRF One way to estimate the strength of a link between two sets of dependent and independent variables is to use a sample regression function (SRF).

Among the Gauss-Markov assumptions that are linked to the standard linear regression model are that the errors follow a normal distribution, that the errors have a mean of zero, and that the errors are not correlated with one another. Using statistical approaches to estimate the model's parameters is made possible by these presuppositions. The homoscedastic distribution of mistakes is one of many assumptions that must be made while testing a hypothesis.

To obtain an accurate estimate of the Cobb-Douglas production function, the functional form must be in log-linear form. The hypothesis that the coefficients on the inputs are all one can be tested to see if there is a continuous return to scale. This will help you determine if the hypothesis is correct.

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complete question:

17. a) Distinguish between the population Regression Function (PRF) and the Sample Regression Function (SRF) using appropriate diagrams and specifications for each function. (30 marks) b) Outline the Gauss-Markov assumptions associated with the Classical Linear Regression Model (CLRM) and discuss their significance. State any additional assumption that is required for hypotheses testing. (30 marks) c) Consider the following Cobb-Douglas production function: Qe = B.402K where, Q = output level, L = labour input, K = capital input Which functional form should you use to estimate this model? Clearly explain how you would test the hypothesis that there is constant return to scale. (40 marks)