Solve #5, which algebraic proof is it

Solve #5, Which Algebraic Proof Is It
Solve #5, Which Algebraic Proof Is It

Answers

Answer 1

If angle 1 = 30° and angle 1 and angle 2 are equal, then angle 2 = 30°. This illustrates vertically opposite angles.

What are vertically opposite angles?

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

A pair of angles that are vertically opposed to one another are always equal. When two lines join to form an angle, say X=45°, the opposite angle is also 45°, for instance.

In this case, the angles are vertically opposite angles.

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Related Questions

What is the slope of the line that passes through the points (-4,5) and (-7,8) ? write your answer in the simplest form

Answers

Answer:

[tex]\frac{-3}{3}[/tex]

Step-by-step explanation:

So we going to put them in the Rise Over Run fomula which is [tex]\frac{5-8}{-4-(-7)}[/tex] and we simplifying this which give us [tex]\frac{-3}{3}[/tex]

A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?

Answers

The mode is the most common value in a set of data values then the mode of the given set of data is 56.

What is a mode?

The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.

The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."

Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61

The mode is the most common value in a set of data values.

Then the mode of the given set of data is 56.

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Pls help me im stuck

Answers

Check out the attached photo

helpppppppppppppppp!!!

Answers

Answer:

I think it would be 71ft

Step-by-step explanation:

Since the cliff was 85ft and she dove 6 ft underwater, the total distance she traveled was 71ft

Answer:

91 feet

Step-by-step explanation:

Theyre asking for how far he leaped.

The cliff jump above ocean level is 85 ft.

But he went an additional 6 ft underwater.

85+6=91 feet

point c has a weight of 3, and point E has a weight of 5
need help with number 3 as well please

Answers

Using the weighted mean, the coordinates of P when point c has a weight of 3, and point E has a weight of 5 is of P = -1.77.

What is the weighted mean?

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the points and weights are given as follows:

D = 2 has a weight of 3.B = -6 has a weight of 9.A = -9 has a weight of 2.C = -1 has a weight of 3.E = 6 has a weight of 5.

Hence the weighted mean is given as follows:

P = (2 x 3 - 6 x 9 - 9 x 2 -1 x 3 + 6 x 5)/(3 + 9 + 2 + 3 + 5) = -1.77.

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Given last periods forecast of 65, and last periods demand of 62, what is the simple exponential smoothing forecast with an alpha of. 4 for the next period?.

Answers

The exponential smoothing forecast for next period is 63.2.

What is exponential smoothing?

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

Last period forecast = 65Last period demand = 62α = 0.4

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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Apply the rule for negative exponents to select the equivalent expression. 8-1 08 8X -8​

Answers

The equivalent expression of 8^-1 is 1/8

How to apply the rule for negative exponents?

The expression is given as

8^-1

The above represents 8 exponent -1

The rule for negative exponents states that

a^-1 = 1/a

This means that

8^-1 = 1/8

Hence, the equivalent expression of 8^-1 is 1/8

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PLEASE HELP ASAP

i would really appreciate it!

Answers

Using the probability concept, the tree diagram and the probabilities are given on the image at the end of the answer.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the first branch, we consider the first counter, which considering the eight counters has these following probabilities.

Blue: 1/8.Red: 3/8.White: 4/8.

Then on the second branch, we consider the probabilities for the second counter, which in the case of a blue first counter are given as follows:

Red: 3/7.White: 4/8.

The same logic is applied for the other branches given in the picture at the end of the question.

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What is the domain of the graph?

Answers

domain is all x-values or inputs of a function

Find the solution to the system: -5/7-11/7x=-y and 7+5x=2y

Answers

The solution to the system of equation is x = 1 / 5 and y = 4

How to solve system of equation?

The system of equation can be solved as follows:

- 5 / 7 - 11 / 7 x = - y

7 + 5x  = 2y

let's rearrange the equations

Therefore,

- 11 / 7 x + y = 5 / 7

5x - 2y = -7

Let's multiply equation(i) by 7 to eliminate the fractions

Hence,

-11x + 7y = 5

5x - 2y = -7

Therefore, using substitution method

5x = -7 + 2y

x = -7 / 5 + 2 / 5 y

Hence,

-11(-7 / 5 + 2 / 5 y) + 7y = 5

77 / 5 - 22 / 5 y + 7y = 5

- 22 / 5 y + 7y = 5 - 77 / 5

-22y + 35y / 5 = 25 - 77  / 5

13y / 5 = -52 / 5

cross multiply

65y = -260

y = -260 / 65

y = 4

Hence,

5x - 2(4) = -7

5x - 8 = -7

5x = -7 + 8

x = 1 / 5

Therefore, the solution to the system of equation is x = 1 / 5 and y = 4

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The coordinate -8 has a weight of 3 and the coordinate 4 has a weight of 1. Find the weighted average

Answers

The weighted average is -5

The formula for the weighted average is

                                        = Σwixi/Σwi               (1)

                                             Where wi = are the weights and

                                                         xi are the coordinates

We have been given that

w1 = 3   ,  x1 = -8            and  w2 = 1  , x2 = 4

Σwixi = w1x1 + w2x2

         = 3*-8  + 1*4

         = -24 + 4

        = -20

Σwi = w1 + w2

       = 3 + 1

      = 4

Now putting the required value in equation (1) we get

Weighted average = -20/4

                                 = -5

Hence the weighted average is -5

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A model train is on a track 100 cm from its starting point. turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. which equation models the position of the train along the track after you turn the switch?

Answers

The equation which models the position of the train along the track can be given as |x − 100| = 25.

One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.

The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.

The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.

Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.

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highest number impossible to make using 5,7

Answers

Answer:

Step-by-step explanation:

Use the graph to determine
A) The function’s domain
B) The function’s range
C) The X-intercepts
D) Y-intercepts
E) The missing function values indicated by question marks below

Answers

Answer:its C

Step-by-step explanation:

they x will intercept when you do it right

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 14 steps forward, and Shaunte walked 5 steps backwards. Which expression correctly represents the distance between the friends? 14 + |−5| = 19 steps 14 + 5 = 19 steps |−14| + |−5| = 19 steps |−14| + 5 = 19 steps

Answers

The number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward option (A) is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other.

Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

Let forward direction be the positive

The backward direction is negative.

The number expression can be represented;

The distance between two friends:

14 + |-5| = 14 + 5 = 19

14 + |-5| = 19

Thus, the number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

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4. The temperature in California was 80 degrees on Thursday. The temperature in the North Pole was -100. What is the
difference between the two temperatures?

Answers

Answer:

180 degrees

Step-by-step explanation:

-100 + 180 = 80

The following dotplot shows the number of songs on each album in Sal's collection. Each dot represents a different album.
A dot plot with an axis labeled "number of songs" and numbered from 0 to 20 in increments of 1, with 19 points. 4, frequency 1. 7, frequency 1. 8, frequency 2. 9, frequency 2. 10, frequency 4. 11, frequency 1. 12, frequency 2. 13, frequency 2. 14, frequency 1. 16, frequency 1. 18, frequency 1. 20, frequency 1.
Here is the five-number summary for these data:
Five-number summary
min \text{Q}_1Q
1

start text, Q, end text, start subscript, 1, end subscript median \text{Q}_3Q
3

start text, Q, end text, start subscript, 3, end subscript max
444 999 101010 131313 202020
According to the 1.5\cdot \text{IQR}1.5⋅IQR1, point, 5, dot, start text, I, Q, R, end text rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:

Answers

Using the quartiles of the data-set, it is found that there is one high outlier in the data-set.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, which is also the 25th percentile.The third quartile is the median of the second half of the data-set, which is also the 75th percentile.The interquartile range is the difference between the third quartile and the first quartile.

The dot plot shows the frequency of each observation, hence the complete data-set is given by:

4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20.

The quartiles are found as follows:

The first half is composed by the first 9 elements, given by 4, 7, 8, 8, 9, 9, 10, 10, 10, hence Q1 = 9.The second half is composed by the last 9 elements, given by 11, 12, 12, 13, 13, 14, 16, 18, 20, hence Q3 = 13.

The IQR is given by:

IQR = Q3 - Q1 = 13 - 9 = 4.

The high outliers are the values that are more than 1.5 IQR above Q3, hence the threshold is given by:

13 + 1.5 x 4 = 19.

There is only value greater than 19, which is of 20, hence there is one high outlier in the data-set.

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Answer:

answer was 0

Step-by-step explanation:

Help please I cant find my answer

Answers

Answer:

see explanation

Step-by-step explanation:

1

4(5 + 3n) - 7 ← distribute parenthesis by 4

= 20 + 12n - 7 ← collect like terms

= 12n + 13

2

6 - (10n + 8) ← distribute parenthesis by - 1

= 6 - 10n - 8 ← collect like terms

= - 10n - 2

combining (adding) the 2 expressions

12n + 13 - 10n - 2 ← collect like terms

= 2n + 11

what is 11 9/8 as a mixed number in the simplest form

Answers

Answer:

97/8

Step-by-step explanation:

first we multiply 11 x 8 to get 88

then we add the numerator (number on top,9) so we add 88+9 to get 97

now we can write our answer

97/8

it cannot be simplified any more than this.

i hope this helped and if you have any questions just ask!

what following is (are)the solution to(x-3)=7x-4

Answers

Answer:

Step-by-step explanation:

The X is equal to 1/6.

Meaning that the X is 1/6.

Answer:

x = 1/6

Step-by-step explanation:

(x - 3) = 7x - 4

x = 7x -1

-6x = -1

-x = -1/6

x = 1/6

What are mathematical formulas placed in software that performs an analysis on a data set?

Answers

Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

What are algorithms?Algorithms are mathematical formulas that are used in software to analyze data sets. An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making). Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."

Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.

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Rearrange the formula to make x the subject y=4(x-1)

Answers

By rearranging the formula using algebraic operations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

What is an Algebraic Expression?

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

To find the value of x, use the same operations on both sides of the equation.

For making x the subject  

Divide by 4 on both sides

[tex]\frac{y}{4}[/tex] = (x-1)

On both sides of the equation, add 1.

[tex]\frac{y}{4}[/tex] - 1 = x

As a result, by rearranging the equations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

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Pwease help me :0 Thank u!

Answers

Answer:

1/2

Step-by-step explanation:

simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2

Evaluate the expression.
10+(9×6)+(9×1)

Answers

Answer:

73

Step-by-step explanation:

10+(9×6)+(9×1)

10+54+9

=73

use the diagram to find bc. (help please!!)

Answers

Answer:6

Step-by-step explanation:

The length of ac is 20 and the length of ab is 14 so all you have to do is 20-14=6

Rewrite 8x8x8 using exponents.

Answers

Answer:

8^3

Step-by-step explanation:

there are three 8s soo all u do is count the number and then how many of that same number you can put into an exponent

1. Use the diagram to the right to name the following
a Four collinear points.
b) A line that contains point M.
c) A line that contains points H and K.
d) Another name for line q.
e) The intersection of lines p and
H I, N, K
MO
NO
J,I, L, K
M OM
M, O, H, N
line
une
KL

Answers

a. H,I,N,K b. Line MO c. Line r d. Line KL
e. point n

You have compared the obtained value with the critical value. what do you do next?

Answers

Reject the null hypothesis if the obtained value is more extreme than the critical value.If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.What is null hypothesis?

The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.

So, when  we compared the obtained value with the critical value then after that  Reject the null hypothesis if the obtained value is more extreme than the critical value.

and, If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.

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If p = 2 3 , point b has a weight of 2, and point c has a weight of 4, find the weight of point a.

Answers

A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best.

What are weighted points?

"The set point is established over time," Harrison explains. "It's a complicated thing, but it appears to be your body's attempt to regulate itself, which results in a certain weight."

Even if set point theory is correct, it is possible to lose weight and keep it off. Avoiding fad diets and gradually losing weight may change your set point. It may allow your body to adjust to your new eating habits. You may be more successful if you seek the assistance of a therapist or a dietitian.

A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best. It is the weight that our bodies can easily maintain—no micromanaging, counting calories, weighing food, and so on.

The point of weight A has been given in the figure.

The complete question is;

If p = 2/3, point b has a weight of 2, and point C has a weight of 4, find the weight of point A.

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completa la tabla sobre o debajo segun corresponda

A) el 24 por ciento de los valores queda por _________ del P25
b) el 25 por ciento de los valores queda por __________ del Q3

Answers

complete the table above or below as appropriate of segun corresponda.

Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%

1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.

2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).

3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)

4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).

5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).

6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.

y tres)

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