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Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS. Explain why it’s the missing side or angle.

A scatter plot which represents relationship between the time (in hours) and height (in meters) has been plotted in the image attached below.

In this scenario, the time (in hours) would be plotted on the x-axis (x-coordinate) of the scatter plot while the height (in meters) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the time (in hours) and height (in meters), a linear equation for the line of best fit is given by

y = -0.29x + 0.52

In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates an inverse relationship between the time (in hours) and height (in meters).

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Answer:

y = -1

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

To find slope we look for the rise/run or (y2 - y1) / (x2 - x1)

The slope here is 0, and the y-intercept is located at (0,-1), so the equation is

y = -1

Answer:

y = -1

Step-by-step explanation:

Solving the question asked, we can say that it is more likely that the student uses a random finger for typing.

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the likelihood or probability of a particular event occurring. Another way to express probability is a percentage from 0% to 100%, or 0 to 1. Percentage of events in the complete set that are equally likely to lead to a particular event compared to the total number of outcomes.

here,

Probabilistically, we can say that the student is using random fingers for typing. Students are more observant and therefore more likely to be accurate on typing tests.

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Complete question: A teacher wants to check the typing proficiency of five students. She gives the same passage to type to all of them. Which student is likely to be accurate at the typing test?

A) students who use one hand to type

B) the student who uses random fingers to type

C) student who types by looking at the keyboard

D) student who corrects errors by looking at the keyboard

E) student who uses macros for long words

Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965

The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.

d = 6 is the difference between subsequent rows.

The value increased to a = 1 at the top vertex.

Consequently, the garden's roses represent a mathematical progression.

A = 1 is the first phrase.

d = 6 is the common difference.

The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.

When Sₙ = 150, we get;

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

number of rows Dodie's plot has, n = 7.3965

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Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 - ∅), and cos = AB/AC = sin(90 - ∅).

The right triangle's angle serves as the domain input value for the six basic trigonometric operations, which produce a range of numbers as their results.Understanding the trigonometric functions of the four quadrants' graphs, domains, differentiation, and integration will be achievable.

Here,

Sinx = perp./hypo.

Cosx equals base/hypo.

So,

Sin = B/C

A= cos(90 -∅ ) = BC/AC

So,

Cos(90 -∅ ) = Sin(BC/AC)

And,

cos = AC/AB

AB/AC = sin(90 -∅ )

So,

cos AB/AC = sin (90 -∅ )

Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 -∅ ), and cos = AB/AC = sin(90 - ∅).

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CPCTC

This acronym stands for "corresponding parts of congruent triangles are congruent". The triangles being congruent leads to their corresponding pieces being the same length. It's like saying if two houses are identical, then the front doors must be identical as well. Notice how this builds off the fact the triangles are proven congruent in line 5.

According to triangle inequality theorem a triangle with two sides 7 units and 17 units, has a third side which measures 10 units.

What is Triangle Inequality Theorem?

According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The two sides of a triangle are -

a=7, b=x and c=17, where a, b and c are the sides of the triangle.

As, 17 is a bigger number so let it be the biggest side.

Now, according to triangle inequality theorem -

a + b = c

7 + x = 17

x = 17 -7

x = 10

Therefore, the third side of the triangle measures 10 units.

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Total 6.5 yards , fabaric are needed to make one costume for the dance recital.

We have , Total lengths of fabaric present for making costumes = 52 yards

Total number of costumes for the dance recital made from 52 yards = 8

we have to calculate the length of fabaric in yards are used for make one constume .

Let the " x yards " be the fabric length used to make one constume.

Now, total fabric length used to make 8 conatumes = 8x yards

but it will be equals to 52 yards . So, we get a simple linear equation with one variable, i.e

=> 8x = 52

=> x = 52/8

=> x = 6.5

So, the required fabric length is 6.5 yards .

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Answer:     -0.2      hope this answer helps you good luck                                

Answer:

-0.2

Step-by-step explanation:

[tex] \frac{ {5}^{ - 1} }{ { - 9}^{0} } = \frac{ \frac{1}{5} }{ - 1} = \frac{1}{5} \times \frac{ - 1}{1} = \frac{ - 1}{5} = - 0.2[/tex]

Elena made 2 batches of bird food, each with 1/8 cup cracked corn, 3/4 cups sunflower seeds, and 1/4 cup dried cranberries, for a total of 1.75 cups of bird food.

Elena made two batches of bird food using a combination of cracked corn, sunflower seeds, and dried cranberries. Each batch uses 1/8 cup of cracked corn, 3/4 cup of sunflower seeds, and 1/4 cup of dried cranberries.

To find the total amount of bird food she made, we need to add the ingredients of the two batches together.

Since she made two batches and each batch contains 1/8 cup of cracked corn + 3/4 cup of sunflower seeds + 1/4 of dried cranberries, the total amount of bird food is 2 × (1/8+3/4+1/4) = 2 × (7/8) = 7/4 = 1.75 cups.

This is the best estimate of the total amount of bird food made by Elena. It's important to note that this estimate is based on the assumption that the proportion of ingredients in each batch is the same, and that the ingredients are measured accurately.

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The measure of angles a and b is 144° and 67° respectively.

There are four sides, four vertices, and four angles in a closed quadrilateral. It has a polygonal shape. It is produced by joining four non-collinear points. The total internal angle of a quadrilateral is always 360 degrees.

The English word quadrilateral is derived from the Latin words quadra, which means four, and latus, which means sides. Each of a quadrilateral's four sides does not always have to be the same length.

Given a quadrilateral,

in which opposite sides are parallel,

so, When a transversal cuts between two parallel lines, the interior angles on the same side of the transversal are additional to 180°.

36° + a° = 180°

and 113° + b° = 180°

a° = 180° - 36° = 144°

and b° = 180° - 113°

b° = 67°

Hence the values of a° is 144° and b° is 67°.

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On solving the provided question, we can say that the function's value

[tex]limx→4+f(x)=6lim⁡x→4+f(x)=6[/tex]

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

function's value will be -

limx→4+f(x)

=6lim⁡x→4+f(x)

=6

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Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?

[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]

[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]

[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]

[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.

The number of boxes to complete the partial quotient model is found to be as 19 cars .

On dividing 95 from 5 we will get 19 as the quotient.

95 / 5 = 19

The quotient is the number that is produced when two integers are divided. It is the outcome of the division process , when we divide a number from another the result is known as quotient.

In arithmetic division, four primary terms are used which are  divisor, dividend, quotient, and remainder. In this post, each phrase will be defined and shown using examples.

Dividend = Divisor + Quotient + Remainder

If the divisor is not able to completely divide the dividend then it leaves a remainder.

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Step-by-step explanation:

1:13

2:26

3:39

4:52

5:65

6:78

Rule - ×13

The difference between the population means - 3.4 and -1.84 when calculated is found to be -2.62 years.

The 95% confidence interval for the difference in true mean ages of cars owned by students and faculty is between -3.4 and -1.84 years.

We know that the sample of 138 cars which belongs to the students have an average age of 5.13 years. The standard deviation = 3.45 years.

Then again,

A sample of 111 cars which belongs to the faculty have an average age of 7.75 years.  The standard deviation= 2.08 years.

So the difference between them will be , s - f

= 3.45 - 2.08 = 1. 37

and the mean will be , mean of students - mean of faculty =

-2.62.

This is the point of difference between their means.

The SD is found to be as 0.3961.

and MOE is 0.78

with these details now we will calculate the required intervals,

The lower end is found to be as  -2.62 - 0.78 = -3.4

The upper end is found to be as  -2.62 + 0.78 = -1.84

Therefore, the mean difference between the cars is - 3.4 and -1.84.

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Answer:

a)  10

b)  Number of hours of phone support (per month).

c)  Total bill (per month).

d)  y = 35x + 10

e)  2.5 hours

Step-by-step explanation:

The company bills you at a rate of:

The fixed cost (the constant) is the cost per month ⇒ $10.

The independent variable is the variable that is not affected by any other variables.

Therefore, the independent value (variable x) is the number of hours of phone support per month.

A dependent variable is the variable that is affected by the other variable.

Therefore, the dependent value (variable y) is the total bill (in dollars) per month.

The equation that describes the given situation is:

To calculate how many hours of phone support was needed for a bill of $97.50, substitute y = 97.5 into the equation from part d and solve for x.

[tex]\implies 35x+10=97.5[/tex]

[tex]\implies 35x+10-10=97.5-10[/tex]

[tex]\implies 35x=87.5[/tex]

[tex]\implies \dfrac{35x}{35}=\dfrac{87.5}{35}[/tex]

[tex]\implies x=2.5[/tex]

Therefore, 2.5 hours of phone support was needed last month.

Answer:64x^2-81y^2

Step-by-step explanation:

difference of the squares

The farmer should expect to harvest 17,500 pounds of spinach from the field.

What is a function?

A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.

In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.

Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:

g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet

We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:

1 pound/square foot * 17,500 square feet = 17,500 pounds

Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.

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The farmer should expect to harvest 17,500 pounds of spinach from the field.

What is a function?

A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.

In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.

Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:

g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet

We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:

1 pound/square foot * 17,500 square feet = 17,500 pounds

Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.

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Use the table in the book to find the P-value rounded to at least 4 decimal places.

It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.

The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.

In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.

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As per the given percentage of tax and discount, the final cost of the milk is $3.8186

The term percentage in math is known as a relative value indicating hundredth parts of any quantity.

Here we have given that You buy a gallon of milk that costs $3. 50.

And here we also know that the milk is discounted for 10% off.

Here we have also have to pay tax of 6. 25% on the discounted price.

First we have to calculate the discounted prices, that can be obtained by the following calculation,

=> 3.50 - [3.50 x 10/100]

=> 3.50 - [3.50 x 0.1]

=> 3.50 - 0.35

=> 3.15.

Now, we have to calculated the tax for the price of the milk,

=> 3.50 + [3.50 x 6.25/100]

=> 3.50 + [3.50 x 0.0625]

=> 3.50 + 0.2186

=> 3.8186.

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Answer:

he will hike approximately 6 days

The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.

Let's review the data given to us to properly respond to the question:

Weight of a box by itself = 0.3 kg

Weight of a plaque = 3.2 kg

The expression can be used to determine the total weight of the box :

We shall use the following phrase to respond to the query:

Total weight of the box in kg = t

Number of plaques inside the box = p

Hence, the expression t = 0.3 + 3.2p

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The actual time is 6:30.

Since Sri's car clock is not accurate, it is gaining time at a constant rate. By knowing that at 12:00 noon the car clock and the watch were in sync, we can estimate that the car clock is gaining 5 minutes per hour.

Therefore, when Sri looks at his car clock at 7:00 and his watch is missing, we can calculate that the actual time is 6:30. This is done by subtracting the 5-minute difference in time between the car clock and the watch at 12:30 (12:35 car clock, 12:30 watch) from the 7:00 car clock. The result is 6:30.

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Therefore, the equation that best fits these scatter plot facts as the answer to this problem is y=661-0.1x.

The term "scatter plot" refers to a particular sort of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that arise indicating any association between the data.

Given the correlation between the data at this moment and the graph provided in the question, y=661-0.1x is an equation that best captures the scatterplot's line of best fit.A scatter plot is a specific type of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that appear showing any associations between the data.

y=661-0.1x is the equation whose solution best fits this data.

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This tells you he practiced for 3 2/6

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

Given,

you take 5/6 and multiply it by 4/1.

which gives you 20/6

then reduce it by dividing the top number by the bottom number

 which gives you 3 with a remainder of 2

you then place the remainder over the

This tells you he practiced for 3 2/6

The complete question is :Rami practices his saxophone for 5/6 hour on 4 days each week.

How many hours does Rami practice his saxophone each week?

[] 2/[] Hr

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Solving the question asked, we can say: If you win tonight, your odds of winning the next game are [tex]$58.33\%$[/tex]. After that, if you lose, you have a [tex]$38.88 \%$[/tex] chance of winning the game.

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.

[tex]$$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$[/tex]

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After 0.6412 years the average for mobile device and television usage will coincide.

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here the equations as  y=-9.11x+280x and  y=12.34x + 169.9 the period for which the averages are equal will be given by

9.11x+280x=12.34x + 169.9

       x   = 0.6412 years

Again, after 7 years in 2021 the respective averages will be                  9.11 ×7+280×7 = 2023.77 and similarly for mobile device the time spent would be 256.28 minutes

Hence, the answers are After 0.6412 years the average for mobile device and television usage will coincide.

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Answer:

90

Step-by-step explanation:

40% is for 36

(100*36)/40

The midpoint is the point that is exactly in the middle of two other points.

In geometry, the midpoint of a line segment is a point that is exactly halfway between the two endpoints of the line segment. It is the average of the coordinates of the two endpoints. The midpoint can be calculated by averaging the x-coordinates and y-coordinates of the two endpoints. The formula for the midpoint is ((x1+x2)/2, (y1+y2)/2). The midpoint is also known as the center of the line segment. It can also be useful in finding the equation of the line that passes through the two endpoints of the line segment.

The midpoint is an important concept in geometry and it can be used in different geometric shapes and figures, It can also be used to find the distance between two points, the slope of the line, and the equation of the line that passes through two points.

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