Find the Slope (10,14) (8,18)

The AAS triangle congruence postulate proves that these triangles are congruent .

In the question,

two triangles are given that are triangle KLM and triangle XYZ .

Consider the triangle KLM and triangle XYZ .

we can see that

(i) angle L = angle Y = angle 1             .....given in the figure

(ii) angle m = angle Z = angle 2           .... given in the figure

(iii) side KM = side XZ                           ....given in the figure

From the above three statements we conclude that

ΔKLM ≅ ΔXYZ

both the triangles KLM and XYZ are congruent by AAS Congruence Postulate .

Therefore , The AAS triangle congruence postulate proves that these triangles are congruent .

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The volume of the cube that has a surface area of 96 in.² is calculated as: 64 in.³.

A cube is a three-dimensional shape that has equal side edges of the same edge. Where a is the length of the edge of a cube, we have the following formulas:

Surface area of a cube = 6a².

Volume of a cube = a³.

Given the following:

Surface area of the cube = 96 in.².

Find the value of a, which is the length of each edge of the cube:

6a² = 96

6a²/6 = 96/6 [division property of equality]

a² = 16

Take the square root of both sides

a = √16

a = 4 in.

Find the volume of the cube:

Volume of the cube = a³ = 4³

Volume of the cube = 64 in.³

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Answer:Multiply the second equation by 3. Then subtract the second equation from the first.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

beta increases

Step-by-step explanation:

The three values that you need to know in order to perform a z-score are the mean, the standard deviation, and the raw score.

The mean is the average of the data set, the standard deviation measures the spread of the data, and the raw score is the individual data point that you are comparing to the rest of the data set. The z-score formula is:

z = (x - μ) / σ

Where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation. By knowing these three values, you can calculate the z-score and determine how many standard deviations away from the mean the raw score is.

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The paintball will hit the disc after around 2.16 seconds.

To find the time it takes for the paintball to hit the disc, we need to find the common value of t when the height of the disc and the path of the paintball are equal.

Setting the two functions equal to each other, we get:\(5t^2 - (149/5)t + 1 = 0\).

Rearranging the equation, we have:\(5t^2 - (149/5)t + 1 = 0\).

This is a quadratic equation. By solving it using the quadratic formula, we find that t ≈ 2.16 seconds.

Therefore, it will take approximately 2.16 seconds for the paintball to hit the disc.

In conclusion, the paintball will hit the disc after around 2.16 seconds.

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You have some standard six-sided dice. So, the probability of rolling a total of ten when you roll three dice is 5/216.

To find the probability of rolling a total of ten when rolling three dice, we can use the formula:

P(event) = desired outcomes / total outcomes

Given that we have six-sided dice, we know that the total outcomes for rolling one die is six.

Therefore, the total outcomes for rolling three dice would be\(6^3\)= 216.

To find the desired outcomes, we can use combinations.

There are three ways we can roll a total of ten with three dice:

1-3-62-4-43-5-24-3-34-2-45-1-5

Therefore, there are five combinations that result in a total of ten.

Therefore, the probability of rolling a total of ten when rolling three dice is:

P(event) = 5/216

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Answer:

21,7 - yes

28,3 - no

17,3 - no

20,4 - yes

55,5 - yes

15,5 - yes

26,4 - no

32,8 - yes

48,7 no

60,2 - yes

79,4 - no

81,3 - yes

Step-by-step explanation:

hope that helps

The number pairs where the first number is a multiple of the second number are:

21, 7

20, 4

55, 5

15, 5

32, 8

60, 2

81, 3

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,

The first number which is a multiple of the second number.

21 and 7
7 x 3 = 21

28 and 3

3 x 9 = 27

17 and 3

3 x 5 = 15

20 and 4

4 x 5 = 20

55 and 5

5 x 11 = 55

15 and 5

5  x 3 = 15

26 and 4

4 x 6 = 24

32 and 8

8 x 4 = 32

48 and 7

7 x 7 = 49

60 and 2

2 x 30 = 60

79 and 4

4 x 19 = 76

81 and 3

3 x 27 = 81

Thus,

The number pairs are:

21, 7

20, 4

55, 5

15, 5

32, 8

60, 2

81, 3

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The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:

The components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).

This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle

From the graph, the coordinates are:

component 1: (6, -6) to (3, -6)

component 2: (7, -6) to (6, -6)

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Answer:

y-1=-3(x+2)

Step-by-step explanation:

Answer: 5 km

Step-by-step explanation: To find the mean you have to add the numbers and divide it by how many numbers there are, so in this case its 4 + 4 + 7 = 15 and then you divide it by the numbers which in this case is 3 so 15 / 3 is 5. Hope this helps! :)

An Experiment is repeated 10 times compared to just 3 times, the results from the 10 repetitions would generally be considered more reliable.

True.

In general, conducting an experiment multiple times increases the reliability of the results. The more times an experiment is repeated, the greater the opportunity to collect data and observe patterns or trends. This allows for a more robust analysis and reduces the impact of random variations or errors that may occur in a single trial.

When an experiment is repeated multiple times, it helps to reduce the effects of outliers or anomalies that may occur in a single trial. By averaging the results over multiple repetitions, the overall outcome tends to be more representative and reliable.

In the context of statistical analysis, increasing the sample size (number of repetitions) can lead to more precise estimates of parameters and reduce the margin of error. It provides a better understanding of the underlying phenomenon being studied and allows for more confident conclusions.

Therefore, if an experiment is repeated 10 times compared to just 3 times, the results from the 10 repetitions would generally be considered more reliable. The larger sample size provides a stronger basis for drawing conclusions and making inferences about the population or phenomenon under study.

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Answer:

x=33

because it lies on the same side of the angle

y= 115

plz mark brainliest

180-155=65 (linear pair)

65+33+x=180 (asp)

98+x=180

x=180-98

x=82

and y...

180-82=98  linear pair

98+36+y=180 asp

134+y=180

y=180-134

y=46

Answer:

a

34

b

17

c

46

Step-by-step explanation:

a

Lowest age = 21

Highest age = 55

Range = 34

b

Add them all together and you get 17

c

Median is middle

17 total people

Formula for median:

(n + 1)/2 = th

n is the total

17 + 1 is 18

18 halved is the 9th number

The 9th number is 46

Answer:

here you go :)

Step-by-step explanation:

You can approach this problem by thinking about going in the opposite of the directions indicated starting at the point (3, 4).

If you ended at an x-coordinate of 3 after having moved 4 to the left, then you can start at 3 and move 4 to the right to see what x -coordinate you started at:  3 + 4 = 7

The x coordinate of the STARTING point would have been 7.

You can do the same with the y-coordinate: start at 4 and travel down 1 unit.  The y-coordinate of the STARTING point would be 3.

Therefore, the coordinates of the starting point would have been  (7,3)

Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = \(\frac{1}{2}x\)

We need to find the length and width.

The formula used is: \(Perimeter\:of\:rectangle=2(Length+Width)\)

Putting values and finding value of x

\(Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64\)

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = \(\frac{1}{2}x\) = \(\frac{64}{2} = 32\)

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

To solve StartFraction 5 over 7 EndFraction y = 6 using reciprocals, we need to isolate y. One correct solution is to multiply both sides by the reciprocal of 5/7, which is 7/5. This gives us (7/5) * (5/7) y = (7/5) * 6, which simplifies to y = 42/5.

Therefore, the first solution is correct. It is important to note that using reciprocals in this way can help us isolate variables and solve equations, but we must ensure that we are applying the correct operations and not making any errors in our calculations. Answer is more than 100 words.
The correct solution for solving the equation 5/7y = 6 using reciprocals is:

5/7y = 6
To solve for y, multiply both sides of the equation by the reciprocal of the coefficient of y, which is 7/5:

(7/5)(5/7)y = (7/5)(6)

The (7/5) and (5/7) on the left side cancel out, leaving:

y = (7/5)(6)

Multiplying the numerators and denominators together, we get:

y = 42/5

So the correct solution is y = 42/5.

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The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:

Dividing the two values by 2, a common factor

223,692 / 42

= 111,846 / 21

Dividing the two values by 3, a common factor

111,846 / 21

= 37282 / 7

Dividing the two values by 7, a common factor

37282 / 7

= 5326 / 1

Hence, the value of the division is 5326.

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Answer: 5sqrt(35)

Step-by-step explanation:

If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.

This means the area of square ABCD is 14000/16 = 875.

Therefore, AB=sqrt(875)=5sqrt(35).

At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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Answer:

Step-by-step explanation:

For example, the base-8 numeral 23-8 contains two digits, "2" and "3", and with a base number (subscripted) "8". When converted to base-10, the 23-8 is equivalent to 19-10, i.e. 23-8 = 19-10.

The equation in exponential form for f(x) = 2(3)x is f(x) = 2 ⋅ 3x.What is an exponential function?An exponential function is a function in which the variable appears in the exponent.    

For example, f(x) = 3x is an exponential function because the variable x is in the exponent.The exponential form of the given linear function f(x) = 150 − 2x is f(x) = 150 ⋅ 2−x. This is because 150 is the y-intercept when x = 0, and the rate of change is negative two.

The equation in quadratic form for f(x) = −(x − 7)² + 150 is f(x) = −x² + 14x + 101.The quadratic form of the given function f(x) = −(x − 7)² + 150 is f(x) = −x² + 14x + 101. To get the quadratic form of the function, you must first expand and simplify the function. It will be equal to the standard quadratic form, which is ax² + bx + c, where a, b, and c are constants.The function f(x) = 150(0.8)x is an exponential function.

This is because the variable x is in the exponent. The base of the exponential function is 0.8, and 150 is the initial value of the function, which means that f(0) = 150. As x increases, the value of the function decreases because the base is less than one.  

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

a

Step-by-step explanation: