g is the centroid of triangle abc.what is the value of x? what is the length of segment dg? unitswhat is the length of segment ag? unitswhat is the length of segment ad? units

The value of x is 5.

What is a angle of a triangle?

In a triangle, there are three angles. These angles are created by the triangle's two sides coming together at the triangle's vertex. Three inner angles added together equal 180 degrees. The side length generates an outside angle if we stretch it outside.

Given that, ∠KLM = 81°,  ∠LKM = 4x°, and ∠KMN = (13x+36)°.

Theorem of exterior angle:

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

According to theorem of exterior angle,

∠KMN = ∠KLM + ∠LKM

(13x+36)° = 81° + 4x°

Subtract 4x from both sides:

9x + 36 = 81

Subtract 36 from both sides:

9x = 45

Divide both sides by 9:

x = 5

To learn more about theorem of exterior angle, click on below link:

https://brainly.com/question/2995226

#SPJ1

Answer:

Step-by-step explanation:

you have to use the vertex

Answer:

slope is undefined

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (16, - 9 ) and (x₂, y₂ ) = (16, 13 )

m = [tex]\frac{13-(-9)}{16-16}[/tex] = [tex]\frac{13+9}{0}[/tex] = [tex]\frac{22}{0}[/tex]

since division by zero is undefined then slope of line is undefined.

Assuming the Dodgers sign more quality players from the free agent market in a year, they will have a better chance of winning when they play the Angels. The odds of the Dodgers winning four of a possible seven games in a series are in probability  0.2097.

The probability for the Dodgers to win a game when playing against the Angels is 2/3 (doubling the chance vs Angels).

So the probability for the Dodgers to win a seven game series against the Angels is (2/3)^7. That is, the probability for the Dodgers to win four games out of a seven game series is (2/3)^4.

Therefore, the probability for the Dodgers to win four games out of a seven games series is (2/3)^4 = 0.2097.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The required value of PE is given as 22. The correct option is (B).

The PE ratio can be calculated by taking the ratio of the price of stock to the earning of the company per share.

The given question can be solved as,

The earning per share is $1.80.

And, the closing price i s $40.

Thus, the PE ratio can be calculated as follows,

PE = 40/1.80

     = 22.2

Which is equivalent to 22, rounding to the nearest whole number.

Hence, the PE ratio is given as 22.

To know more about PE ratio click on,

https://brainly.com/question/13633343

#SPJ1

Answer: D) Two sides are congruent

Step-by-step explanation:

The answer is , Analysis for these data will be based on a Independent Two sample t-test design .

In the question ,

the national park service is comparing the amount of money spent by the visitors in two different national parks .

we know that the ,

Independent sample t-test is defined as statistical technique that can be  used to analyze the mean comparison of two independent groups.

In independent samples t-test, if we take two samples from same population, then mean of the two samples may be identical.

So , Analysis for these data will be based on a independent samples t-test design  .

Therefore , the independent samples t-test design will be used for the analysis for the given data.

The given question is incomplete , the complete question is

The national park service is interested in comparing the amount of money that visitors in two different national parks spend. they sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a                  design .

Learn more about Analysis here

https://brainly.com/question/23414941

#SPJ4

x is the independent variable in the linear equation  ax + by + c = 0

and y is the dependent variable in the linear equation.

Given, an independent variable in a linear function,

we have to define the independent and dependent variables.

Let suppose a linear equation be,

ax + by + c = 0

now, in the above linear equation,

by  = -ax - c

y = -(ax + c)/b

So, the value of variable x in the above linear equation, is independent and don't depend on any other variable whereas the value of variable y in the above linear equation, is dependent as it depends on the value of the variable x.

Therefore, x is the independent variable in the linear equation and y is the dependent variable in the linear equation.

The value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.

Hence, the value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.

Learn more about Linear Equations here https://brainly.com/question/25869125

#SPJ4

One of the proofs below and use one of the indirect proof techniques presented in Chapter 8 to demonstrate the validity of the argument .

Given :

The proofs below may use any of the rules of inference or replacement rules given in Chapter 8.

( G � P ) → K, E → Z, ~P → ~ Z, G → ( E v L ), therefore, ( G � ~L ) → K

( S v T ) ↔ ~E, S → ( F � ~G ), A → W, T → ~W, therefore, ( ~E � A ) → ~G

( S v T ) v ( U v W ), therefore, ( U v T ) v ( S v W )

~Q → ( L → F ), Q → ~A, F → B, L, therefore, ~A v B

~S → ( F → L ), F → ( L → P ), therefore, ~S → ( F → P )

Learn more about the proofs here:

https://brainly.com/question/11452071

#SPJ4

The origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

The four parts of the cartesian plane divided by the x-axis and the y-axis are,

Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4.

Given, a cartesian plane divided by x-axis and y-axis.

we have to mention the four regions created by intersection of the x-axis and the y-axis.

Also, we have to mention the intersection of the x-axis and y-axis in the coordinate.

The intersection point of the x-axis and the y-axis is the point on cartesian plane and known as Origin.

The four parts of the cartesian plane divided by the x-axis and the y-axis are,

Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4.

Also, The origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

Hence, the origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

Learn more about Coordinate Geometry here https://brainly.com/question/18269861

#SPJ4

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 324.

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 326.   This is calculated using the 1/2-value correction (de Moivre-Laplace Approximation). The 1/2-value correction assumes the normal distribution is symmetric, with the mean in the middle of the distribution. This means that the probability of being above the mean is equal to the probability of being below the mean.  Since the airline wants to be 99% confident that all ticket holders who do show up will be able to board the plane, this means that the airline needs to sell enough tickets such that the probability of being above the mean (300 tickets sold) is 99%.   Using the 1/2-value correction, the airline needs to sell 326 tickets to achieve this confidence level.

This is calculated as follows:   P(x > 300) = 0.99  P(x < 300) = 0.01  Using the 1/2-value-correction:

P(x = 300 + 0.5) = 0.99

Therefore,   x = 300 + 0.5=>  x = 300.5 => x = 326

To know more  confidence level refers to the  link   brainly.com/question/13242669

#SPJ4

whether the sample mean statement is accurate. It is False to expect to acquire a sample mean that is exactly the same as the population mean using the appropriate sampling technique.

The sample mean is an estimate of the population mean, based on a sample of data taken from the population. Since the sample is only a subset of the population, it is unlikely that the sample mean will be exactly equal to the population mean. The larger the sample size, the more closely the sample mean will approximate the population mean. However, it is still not expected to be the same as the population mean, since the sample itself is a limited subset of the population and may not accurately represent the population as a whole.

Learn more about population mean here

https://brainly.com/question/19538277

#SPJ4

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

To learn more about time complexities,

https://brainly.com/question/28014440

#SPJ4

The full price when the sales price is £32.24 is £96.72

The full price when the sales price is £86.08 is  £258.24

The full price when the sales price is £105.48 is £316.44

The full price when the sales price is £230.62 is £691.86

The sales price is one third of the full price of the items. Thus, in order to determine the full price, multiply the sales price by 3.

Full price = sales price x 3

Full price when the sales price is £32.24 = 3 x £32.24 = £96.72

Full price when the sales price is £86.08 = 3 x £86.08 = £258.24

Full price when the sales price is £105.48 = 3 x £105.48 = £316.44

Full price when the sales price is £230.62 = 3 x £230.62 = £691.86

To learn more about sales price, please check: https://brainly.com/question/25101522

#S[K1

The required slope-intercept form of the equation of the line is y = x/4 + 3.

To determine the equation of the line in slope-intercept form passing through the points (4, 4) and (0, 3).

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,

m = (y₂ - y₁) /  (x₂ - x₁)

Substitute the points,
m = [3 - 4] / [0 - 4]
m = 1 / 4

Standard equation of the line
y - y₁ = m (x - x₁)

Substitute one point and m in the above equaiton
y - 3 = 1/4 [x - 0]
y = x/4 + 3

Thus, the required slope-intercept form of the equation of the line is y = x/4 + 3.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.

A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.

In a different sense, expression is highly helpful in identifying the root or end value of a constraint.

for instance, 3x + 5y

The expression restriction is denoted by the symbols = or, >.

Given the phrase,

z + (z+6)

opening the bracket

z + z + 6

⇒ 2z + 6

Hence

"2z + 6 will be the value of the equation z + (z+6)."

To know more about expression visit:
https://brainly.com/question/1859113

#SPJ4

Validity is the extent to which findings may be generalized, while Internal validity validity refers to the ability to infer that there is a causal relationship between variables.

"Information available from the question",

In the question:

Validity is the extent to which findings may be generalized, while___ validity refers to the ability to infer that there is a causal relationship between variables.

To fill up the blank space:

Now, According to the question:

Let's Know:

Internal and external validity are two ways of testing cause-and-effect relationships.

Internal validity refers to the degree of confidence that the causal relationship being tested is trustworthy and not influenced by other factors or variables.

External validity refers to the extent to which results from a study can be applied (generalized) to other situations, groups, or events.

Now, According to the above statement is:

Hence, Validity is the extent to which findings may be generalized, while Internal validity validity refers to the ability to infer that there is a causal relationship between variables.

Learn more about Internal Validity at:

https://brainly.com/question/9292757

#SPJ4

The F - ratio is equal to 1, 18.

Given information,

For an independent-measures experiment comparing two treatment conditions with a sample of n = 10 in each treatment, the F - ratio would have df equal to what?

Let,

p = 2

n = 10

df of factor = p - 1 = 2 - 1

                             = 1

df of error = (np - p) = 10 * 2 - 2

                                = 18

Therefore, the F - ratio is equal to 1, 18.

To learn more about error click here:

brainly.com/question/13370015

#SPJ4

Answer: She could make those two changes to save money for her trip. Also, she could save a little bit of her salary to have enough money to go.

Step-by-step explanation:

This is just a guess but PLEASE GIVE ME BRAINLIEST if you're pleased with my answer.

What Christina did wrong in estimating the percentage is that; She  incorrectly multiplied 90 times 0.9

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

The correct steps should be as follows;

1. (90)(190%)

2. We will break down 190% into 2 sums to get;

(90)(100% + 90%)

3. We will apply distributive property of Algebra to get;

(90)(100%) + (90)(90%)

4. We will convert the percentage to decimal to get;

(90)(1.0) + (90)(0.9)

5. We will multiply out the terms to get;

90 + 8.1

6. We will add up the terms to get; 98.1

Comparing these steps to that of Christina, we can say that what she did wrong was that she incorrectly multiplied 90 times 0.9.

Read more about Percentage at; https://brainly.com/question/843074

#SPJ1

A system of linear inequalities to describe this situation are as follows;

x + y ≤ 100

3x + 5y ≥ 360

x ≥ 20

The system of inequalities has been solved graphically and one possible solution is selling 20 tacos and 80 burritos.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of tacos sold and number of burritos sold respectively, and then translate the word problem into algebraic equation as follows:

Since Henry only has enough supplies to make 100 tacos or burritos, we have;

x + y ≤ 100

Also, Henry sells each taco for $3 and each burrito for $5 and must sell no less than (at least) $360 worth of tacos and burritos each day

3x + 5y ≥ 360

Lastly, Henry must sell no less than (at least) 20 tacos;

x ≥ 20

In conclusion, you should use a graphing calculator to plot the system of linear inequalities as shown in the image attached below.

Read more on taco and inequalities here: https://brainly.com/question/19709106

#SPJ1

The perimeter of a triangle is: 12cm.

The area of triangle is: [tex]6 cm^2\\[/tex]

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

Therefore, this triangle is sometimes called the right triangle or 90-degree triangle.

The characteristics a right-angle triangle possesses.

Let x be the one side of the triangle.

Then the other side will be x + 1 cm.

Hypotenuse is 5 cm.

Using right angled triangle property and (a + b)²=a²+b²+2ab

[tex]x^2 + (x+1)^2 = 5^2\\\implies x^2 + x^2 + 2x + 1 = 25\\\implies 2x^2 + 2x = 24\\\implies 2x^2 + 2x -24 = 0\\\implies x^2 + x -12 = 0\\[/tex]

Solving this equation:

x = -4 or x = 3

since the length of triangle can't be negative therefor x = 3.

which means sides are 3, 4 and 5

Perimeter = sum of all three side

Therefore, Perimeter = 3 + 4 + 5 = 12cm.

Area = (height * base)/2

Therefore, Area = [tex]3*4/2 = 12/2 = 6 cm^2[/tex]

Learn more about right angled triangle here:

https://brainly.com/question/1248322

#SPJ1

Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]

A division is a process of splitting a specific amount into equal parts.

Given,

[tex]7\frac{1}{2}[/tex]÷[tex]1\frac{1}{2}[/tex]

15/2÷3/2

When fraction is divided by fraction the denominator turns to reciprocal and multiplied with numerator

15/2×2/3=5

Clarice did not verified the answer

5×[tex]1\frac{1}{2}[/tex] should be equal to [tex]7\frac{1}{2}[/tex]

Hence, Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

There is insufficient evidence to say that the population proportion has decreased from 28%.

"Information available from the question"

In the question:

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

What are the null and alternative hypotheses?

Now, According to the question;

Let's know:

Significance Level:

The significance level is the area of the rejection region in the hypothesis test. The larger the significance level, the easier is to reject the null hypothesis. The most common significance level used is 5% but in cases where high precision is required significance level is reduced.

[tex]H_0[/tex] : p [tex]\geq[/tex] 0.28

[tex]H_\alpha[/tex] : p < 0.28

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

So,

The sample proportion:

p(cap) = x/ n

          = 291/1122

         =  0.2594

Test Statistics:

z = [tex]\frac{p_c_a_p - p }{\sqrt{p\frac{(1-p)}{n} } }[/tex]

z = [tex]\frac{0.2594 - 0.28}{\sqrt{0.28\frac{(1-0.28)}{1122} } }[/tex]

z = -0.0206/0.0003396

z = -0.2591

Decision rule:

Reject the null if,

p- value [tex]\leq[/tex] [tex]\alpha[/tex]

We can use a z-distribution table, an online tool, or the following excel command to calculate the p-value using excel.

p - value = P(z <  -0.2591)

              = 0.79635

p - value ≈ 0.79635 > [tex]\alpha[/tex] = 0.01

Fail to reject the null.

Conclusion:

There is insufficient evidence to say that the population proportion has decreased from 28%.

Learn more about Significance Level at:

https://brainly.com/question/29663617

#SPJ4

As per the concept of linear regression, the equation of the data is y ​= 133.1807 − 6.3096x.

The term linear regression means to determine the character and strength of the association between a dependent variable and a series of other independent variables.

Here we have given that mathematics and statistics teacher rex boggs, from Australia, weighed the bar of soap in his shower stall before showering in the morning. And the data on day and soap weight (in grams) appear in the table.

Here we need to find the linear regression equation that represents the given situation.

Based on the concept of linear regression, we know the the general formula for the regression is written as,

=> y = a + bx

FRom the given data, we have identified the value of the functions as,

a = 133.1807

b = -6.3096

r² = 0.9962

r = -0.9981

When we apply these values on the formula, then we get the equation as,

Then it implies the regression line is,

=> ŷ = a + bx = 133.18076.3096x

here a represents the day and y represents the weight in grams.

To know more about regression here

https://brainly.com/question/14184702

#SPJ4

The given number on the left can be matched with the correct description of the number on the right as :

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

logical quantity is A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers. The number "0" is also a rational number because there are various ways to express it, including 0/1, 0/2, and 0/3.

Learn more about integer. at:

https://brainly.com/question/17695139

#SPJ1

linear equation

An equation with a maximum power of 1 for a variable is called a linear equation.

How to form a linear equation based on a given situation?

The total number of paid holidays is y.

Also, let x be the number of years Mara worked for the company.

4 days of fixed paid vacation. The additional number of years of paid leave is 3 days.

So, the linear equation that forms is

y = 3x + 4... (1)

Five years from now, how many days of paid vacation will she take?

Substitute the value of x = 5 into equation (i).

y = 3(5) + 4

y = 15 + 4

y = 19

Mara therefore has 19 days of paid leave after her five years of service.

To know more about linear equation, visit

https://brainly.com/question/29689732

#SPJ1

Probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

If 60% of the population supports massive federal budget cuts.

We have to find the probability in that a survey of 250 people, at most 155 people support such cuts.

So, the probability is, 155 / 250 = 0.62

Hence, probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

Learn more about probability link below

brainly.com/question/24756209

#SPJ1