Use ΔABC, shown to the right, to answer the following question.
If AK=31. What is KP??

Answer:  5, 3, 1, 2, 6, 4

Step-by-step explanation:

The proof should be written as follows (which is a different order than provided):

  Statement                                               Reason                                        

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

6. AE = CE and BE = DE                         6. CPCTC

This is the order provided in your question:

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

6. AE = CE and BE = DE                         6. CPCTC

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same

Answer:

3200 of 768 is 416.67%

Step-by-step explanation:

There's your answer hope this helps.

Answer:

18706.47619

Step-by-step explanation:

that's if u were saying the "by" was dividing

Answer:

.5

Step-by-step explanation:

The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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Answer:

Step-by-step explanation

The bottle had 20 ounces that before and 8 ounces after

8+x=20

20-x=8

20-8=x

20-8=12

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

Answer:

Scalene Right

Step-by-step explanation:

Isosceles right: An isosceles right triangle is a triangle that has 90 degrees as one of its angles and has 2 congruent sides. Based off the image, it appears that none of the sides are equal in length, so this is incorrect.

Scalene Acute: A scalene acute triangle is a triangle that has all angles under 90 degrees and has different sides. While the given triangle has unique sides, one angle (90 degrees) is not under 90 degrees, so this is incorrect.

Isosceles Acute: An isosceles acute triangle is a triangle that has all angles under 90 degrees and has two congruent sides. This triangle doesn't have 2 equal sides or all angles under 90 degrees, so this is incorrect.

Scalene Right: A scalene right triangle is a triangle that has 90 degrees as one of its angles and has all unique sides. This triangle has a 90 degree angle and unique sides, so this is correct.

Where the above factors are given, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.

The profit equation for the sale of pressure cookers for the company Kitchen Masters is:

P = −120p² + 19,800p − 727,450

To find the sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300,


Let the profit equation =  89,300.

Now, we solve for p:

89,300 = −120p² + 19,800p − 727,450

Adding 727,450 to both sides:

816,750 = -120p² + 19,800p

Dividing both sides by -120:

-6,805 = p² - 165p

Rearrange the equation to make it Quadratic

p² - 165p + 6,805 = 0

Now we can solve for p using the quadratic formula:

p = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = -165, and c = 6,805.

p = (-(-165) ± √((-165)² - 4(1)(6,805))) / 2(1)

p = (165 ± √((27,225 - 27220)) / 2

p ≈ 83.618 or p ≈ 81.382

Therefore, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.

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This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

(x+1)(x-4) = (x+1)(x+2)

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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The complete question is in the attachment. 60 percent are likely to be the ones that would have to succeed.

Whole chance of receiving blue here is represented by receiving blue on the first spin, blue on the second spin, and blue on the third spin.

= 2 + 1 + 3

=6

The odds of obtaining a blue or red are equal to the total odds of getting a blue or red in the first spin plus the total odds of getting a blue or red in the second spin plus the total odds of getting a blue or red in the third spin.

= 4 + 2 + 4

= 10

Total chance of receiving blue / Total chances is the probability of getting blue in three spins.

=6/10

=3/5

=60 %

60% are likely to succeed.

Here, the likelihood of victory is lower than 80%

Ben shouldn't therefore play

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Answer: 90$

Step-by-step explanation:  50% of 60 is 30 so 60+30=90

Answer:

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes

Three main categories of probability exist:

The first team will be a team of all males :

Total number of Outcomes = 13C6 = 1716

Number of favourable outcomes = 7C6 = 7

Probability that all member of the first team will be male is =

Number of favourable outcomes/Total number of Outcomes

= 7/1716

the second team is all females, given the first team is all males

Total number of Outcomes = 7C6= 7

Number of favourable outcomes = 1

the probability the second team is all females, given the first team is all males = (Number of favourable outcomes/Total number of Outcomes)

= 1/7.

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the equation is

Clearing c, we have

So we just need to make the substitutions. The first one is e = 1.4, so we will have

For the second one, we have e=2.2

In the second one, we start with 124 lt of water and we add 9 lt per minute (I think, it doesn't say). So, in this case the equation is

where L is the number of liters of water and t is the time in minutes. First we are asked for the first 4 minutes, so we have

Then, after the first 80 minutes we have

Answer: whats the question tho

Step-by-step explanation:

Answer:whats the question

Step-by-step explanation:

Answer:

You are correct it is the bigger one

Step-by-step explanation:

Answer:

Solve for x means find the value of x that would make the equation you see true. Think about this equation: x + 1 = 3. If you were asked to solve it, that would mean finding some value for x that gives you three when you add one to it. ... That's what solving an equation is all about!

Step-by-step explanation:

Answer:

They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.

Step-by-step explanation:

Answer:

Axis of symmetry:  x = 5

Vertex form:  y = -4(x - 5)² + 3

Step-by-step explanation:

Given ordered pairs: (2, -33)  (3, -13)  (4, -1)  (5, 3)  (6, -1)

Axis of Symmetry

As this is a parabola, it will be symmetrical.  

To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.

Two ordered pairs with the same y-value:  (-4, 1)  and  (6, -1)

Midpoint of x = 4 and x = 6 is:  x = 5

Therefore, the axis of symmetry is x = 5

Vertex form

Vertex form of a quadratic equation:  y = a(x - h)² + k

(where (h, k) is the vertex)

The axis of symmetry is the x-value of the vertex of the parabola.

As we have been given the point when x = 5, the vertex is:  (5, 3)

Substituting this into the formula:

⇒ y = a(x - 5)² + 3

To find the value of a, substitute any of the other points into the formula and solve for a.

Using (4, -1)

⇒ a(4 - 5)² + 3 = -1

⇒ a(-1)² = -4

⇒ a = -4

Therefore, the vertex form of the parabola is:

y = -4(x - 5)² + 3

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

The correct statement about quantitative research is:

It uses formal questions and predetermined response options in questionnaires administered to large numbers of respondents.

We know that the quantitative research is nothing but the process of collecting and analyzing numerical data.

It is used to find the patterns, make predictions, test the relationships, and generalize results to given populations.

Whereas the qualitative research involves collecting and analyzing non-numerical data.

Quantitative research is mostly used in the natural sciences and social sciences.

It collects data using sampling methods, or by sending out online surveys/ polls, and questionnaires.

It uses formal questions and predetermined response options in questionnaires administered to large numbers of respondents.

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The complete question is:

Which of the following is true of quantitative research?

1)    It enables researchers and clients to get closer to their customers and potential customers than does qualitative research.

2)    It uses formal questions and predetermined response options in questionnaires administered to large numbers of respondents.

3)    It is most often used with exploratory research designs.

4)    It usually involves collecting detailed data from relatively small samples by asking questions or observing behavior.

5)    It is superior for studying topics that involve complex psychological motivations not easily reduced to survey formats and quantitative analyses.

Answer:

the answer would be 3,3,7

Step-by-step explanation:

because to of the sides will be the same and one will be different

Answer:

Step-by-step explanation:

{3,3,7}

Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3

Step-by-step explanation:

A percentage is given by dividing a given value by a total and multiplying the result by 100

The percentage of the dartboard occupied by the bullseye is approximately 1.963 %

Reason:

The given parameters are;

The area of the dartboard, A = 1,600 cm²

The location of the center of the bullseye = (0 cm, 0 cm)

The coordinates of a point on the circumference = (√3 cm, √7 cm)

Question: Possible question with regards to the given parameter; The percentage of the dartboard covered by the bullseye

Solution;

The radius of the bullseye, r = \(\sqrt{(\sqrt{3})^2 + (\sqrt{9})^2} = \sqrt{10}\)

The area of the bullseye, \(A_b\) = π· r² = π × \((\sqrt{10})^2\) = 10·π

∴ The area of the bullseye, \(A_b\) = 10·π cm²

The percentage area is given as follows;

\(Percentage \ area = \dfrac{A_b}{A} \times 100\)

Therefore;

\(Percentage \ area \ occupies \ by \ bulleseye = \dfrac{10 \cdot \pi}{1,600} \times 100 \approx 1.963 \%\)

The percentage of the dartboard occupied by the bullseye ≈ 1.963 %

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Answer:

2%

Step-by-step explanation:

Should be Choice B