How do you do this please help me

How Do You Do This Please Help Me

Answers

Answer 1

Step-by-step explanation:

you know how equations are transformed ?

by applying the same operation on both sides of the equation (so that the equality remains).

x + 38 = 79

to get "x = ...", we need to eliminate the "+ 38" in the x side.

clearly we need to subtract 38.

again, whatever e do, we have to do on both sides, otherwise the equality relation is destroyed.

so,

x + 38 - 38 = 79 - 38

x = 41

that is the height of the avocado tree : 41 in.

it is 38 in shorter than 79 in (the fig tree).

that's all that is to this. it is a really simple method.

the same applies to any operation you want to do (+, -, ×, ÷, ...).


Related Questions

Please answer this question with a decent explanation.

Answers

Answer:

b

Step-by-step explanation:

sr =

[tex] \sqrt[10]{3} [/tex]

Review the table of values showing the mass of a radioactive isotope over time.

Which statement best describes the explanatory and response variables in the regression model?

In the logarithmic regression model, the explanatory variable is time and the response variable is the remaining mass.
In the logarithmic regression model, the explanatory variable is the remaining mass and the response variable is time.
In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass.
In the exponential regression model, the explanatory variable is the remaining mass and the response variable is time.

Answers

In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass. thus it is the correct option.

What is the regression model?

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

Since the explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

According to the table of values showing the mass of a radioactive isotope over time.

Based on explanation above the correct choice is C which could be In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass.

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Is Dawn or Denise correct?

Answers

Answer:

Dawn is correct maybe because -3 is less than 4

correct if I'm wrong

dawn is correct because of -3 being less than 4

Insert parentheses in the Expression so that it has a value of 19. Then show why your expression has a value of 19.
5+4*2+6-2*2-1

Answers

The expression 5+4*2+6-2*2-1 has a value of 14 using order of operations

How to simplify an expression using order of operation?

The order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved. A way to remember the order of the operations is PEMDAS, where each letter stands for a mathematical operation

Parenthesis            (  )

Exponent                a⁷

Multiplication          x

Division                   ÷

Addition                  +

Subtraction             -

Let's use PEMDAS:

Remember, multiplication comes before addition and subtraction, thus, we have:  

5+4×2+6-2×2-1 = 5 + (4×2) + 6 - (2×2) - 1

                        =  5 + 8 + 6 - 4 - 1

                        =  14

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a senate committee has 8 republicans and 6 democrats. in how many ways can we form a subcommittee with 3 republicans and 2 democrats?

Answers

840  ways can we form a subcommittee with 3 republicans and 2 democrats

Given that

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations). Three fruits, such as an apple, an orange, and a pear, for instance, can be combined into three different pairs: an apple and a pear, an apple and an orange, or a pear and an orange. A k-combination of a set S is officially defined as a subset of S's k unique elements. So, if and only if each combination contains the same elements, two combinations are said to be identical. (It is not important how each set's members are arranged.) If there are n elements in the set, then C kn is the number of k-combinations.

a senate committee has 8 republicans and 6 democrats.

now, we need to find how many ways can we form a subcommittee with 3 republicans and 2 democrats

= 8[tex]C_{3}[/tex] × 6[tex]C_{2}[/tex]

=[tex]\frac{8!}{5!3!}[/tex] × [tex]\frac{6!}{4!2!}[/tex]

=56 × 15

=840

840  ways can we form a subcommittee with 3 republicans and 2 democrats

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plsssssshelppppppppppp

Answers

Answer:

1

Step-by-step explanation:

What are two possible transformations that together could have been used to create the image of (mc022-1 ) ---> A' from A?

(<-- the graph (see picture))

A. a reflection across the x axis followed by a reflection across the y axis
B. a translation of 6 units down followed by a rotation of 90 degrees clockwise about the origin
C. a reflection across the y axis followed by a reflection across the x axis
D. a translation of 6 units down followed by a reflection across the y axis

Answers

The only option that represents the two possible transformations that together could have been used to create the image is; D. a translation of 6 units down followed by a reflection across the y axis

What transformation rule was used?

In geometry, a transformation is defined as an operation that moves, flips, or changes a shape that is called the preimage in order to create a new shape that is called the image. Some of the types of transformations includes; Translation, Reflection, Dilation e.t.c

Let us analyze each of the options;

A. This is not correct because the transformation rule for a reflection over the x -axis is (x, y) → (x, −y)  while the transformation rule for the reflection of point (x, y) across the y-axis is (-x, y). This will not correspond with the final transformation given.

B) This is not correct because it will not produce the complete match as the rotation given will not allow for proper mapping.

C) This is NOT correct just like is seen in option A above.

D) This is correct because after translation by 6 units downwards, when we reflect across the y-axis, it produces the final transformed image.

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mariela took out a mortgage and purchased a house located in the v zone of an nfip participating community. what does that mean for mariela?

Answers

Mariela's purchase of a house located in the V Zone of an NFIP participating community means that the house is located in a high amount of risk flood zone and that she is required to purchase flood insurance if she has a mortgage. This insurance will help to protect her investment in the event of a flood.

Mariela must purchase flood insurance if she has a mortgage on her house, which is located in a high amount of risk flood zone in an NFIP participating community. This insurance will help to protect her investment in the event of a flood.

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Caleb is going to invest in an account paying an interest rate of 6% compounded daily. How much would Caleb need to invest, to the nearest cent, for the value of the account to reach $1,900 in 5 years?

Answers

Caleb would need to invest $1,764.69 to the nearest cent, for the value of the account to reach $1,900 in 5 years with an interest rate of 6% compounded daily.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is different from simple interest, which is calculated only on the initial principal.

To find out how much Caleb needs to invest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment

P = the principal or initial investment

r = the annual interest rate (expressed as a decimal)

n = the number of times per year that interest is compounded

t = the number of years the investment will be held

We know that Caleb wants the future value of the investment to be $1,900 in 5 years and interest is compounded daily with an annual rate of 6%. So we can set up the equation as:

A = P(1 + r/n)^(nt)

1900 = P(1 + 0.06/365)^(365*5)

To solve for P, we can use a calculator to get the result:

P = $1,764.69

Hence, Caleb would need to invest $1,764.69 to the nearest cent, for the value of the account to reach $1,900 in 5 years with an interest rate of 6% compounded daily.

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one of many librarians at a large city library is interested in how many books an average visitor checks out. she keeps a tally of how many books are checked out by each visitor who uses her check-out station in the children's section of the library. what type of sample is this?

Answers

This is a convenience sample as it is based on accessibility and availability of visitors.

What is average ?

The average, also known as the mean, is a measure of central tendency that is commonly used to summarize a set of numerical data. It is calculated by adding all of the values in a dataset and then dividing by the number of values in the dataset.

This is an example of a convenience sample ,

A convenience sample is a type of sample where the researcher selects participants based on accessibility and availability, rather than using a random selection method. In this case, the librarian is only collecting data on visitors who are checking out books at her specific check-out station in the children's section of the library, which is a subset of the total population of visitors to the library. The data may not be representative of the entire population of visitors to the library, as it only includes data from visitors who are checking out books in the children's section of the library.

This is a convenience sample as it is based on accessibility and availability of visitors.

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If U and T are the midpoints and the distance between S and R is 56 miles, what is the distance from U to T ?

Answers

The final distance from U to T is 112 miles.

Since U and T are the midpoints of SR and ST respectively, we know that SU and RT are congruent and have the same length.

We need to find the overall displacement of U&T.

Also, we know that the distance between S and R is 56 miles.

Therefore, the distance from U to T is equal to twice the distance from S to U which is 2 * (distance from S to R) = 2 * 56 = 112 miles.

Therefore, The final distance from U to T is 112 miles.

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A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water

Answers

The set of ordered pairs depicts the volume of water in the can in gallons (y) as a function of time in minutes (x), beginning with the first minute after the can begins distributing water and ending with {(1, 6.7) , (2, 6.4) , (3, 6.1)}.

What is ordered pairs?

An ordered pair is a pair of objects in mathematics. The order of the objects in the pair is important: the ordered pair differs from the ordered pair unless a = b. Ordered pairs are also known as 2-tuples or 2-length sequences. An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions.

Here,

A watering can dispenses water at the rate of 0.3 gallon per minute.

The original volume of water in the can was 7 gallons.

If you plot a graph of volume of water in the can (gallons) against time (minutes),

The set of points on the graph will be:

After 1 minute: (1, 7 - 0.3) = (1, 6,7)

After 2 minutes: (2, 7 - 0.6) = (2, 6.4)

After 3 minutes: (3, 7 - 0.9) = (3, 6.1)

i.e the set {(1, 6.7) , (2, 6.4) , (3, 6.1)}

The set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water is {(1, 6.7) , (2, 6.4) , (3, 6.1)}.

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help D: !!!!!!!!!!!!!

Answers

Answer: x is 90 and y is 41

Step-by-step explanation: Since angle C is equal to 49 degrees, and angle D is noticeably 90, we can do the following:

90 + 49 = 139

180 - 139 = 41

Therefore, our answer is x = 90 and y = 41

Segment $s_1$ has endpoints at $(4,1)$ and $(-8,5)$. Segment $s_2$ is obtained by translating $s_1$ by $2$ units to the right and $3$ units up. Find the midpoint of segment $s_2$. Express your answer as $(a,b)$ with $a$ and $b$ integers.

Answers

The midpoint [tex]s_{2}[/tex] is = (0,4).

Midpoint refers to a point that is in the middle of the line connecting two points. The two mentioned points are the endpoints of a line and the midpoint is lying in between the two points. The midpoint divides the line connecting these two points into two equal halves

According to the question,

The endpoints [tex]s_{2}[/tex] are 2 units to the right and 3 units up from the endpoints [tex]s_{1}[/tex].

[tex]s_{1}[/tex] has endpoints at  (4, 1)  and  (-8, 15).

[tex]s_{2}[/tex] has endpoints at  (4+2, 1+3)  and  (-8+2, 1 +3)

[tex]s_{2}[/tex]  has endpoints at  (6, 4)  and  (-6, 4).

The midpoint of [tex]s_{2}[/tex] = [tex](\frac{6-6}{2} , \frac{4 + 4}{2} )[/tex] = ( 0, 4)

So, the midpoint [tex]s_{2}[/tex] is = (0,4).

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A bank loaned out ​$19,000​, part of it at the rate of 7% per year and the rest at 17% per year. If the interest received in one year totaled ​$​2000, how much was loaned at 7%

Answers

Answer:

  $12300

Step-by-step explanation:

You want to know the amount loaned at 7% if $19000 loaned at 7% and 17% earns $2000 in one year.

Interest

The interest on an investment P at rate r for t years is ...

  I = Prt

The sum of the amounts of interest on a 7% investment of x and a 17% investment of (19000 -x) is given as 2000:

  0.07x +0.17(19000 -x) = 2000

  -0.10x +3230 = 2000 . . . simplify

  1230 = 0.10x . . . . . . . . . . add 0.10x -2000

  12300 = x . . . . . . . . . . . . divide by 0.10

The amount loaned at 7% was $12,300.

Find the slope of the line that passes through these two points

Answers

Step-by-step explanation:

your teacher gave you even the formula. so, what is still not clear ?

in regular words, the slope of a line is the ratio

y coordinate difference / x coordinate difference

when going from one point on the line to another.

so, we have here (-2, 1) and (3, 2).

x changes by +5 (from -2 to 3).

y changes by +1 (from 1 to 2).

so, the slope is +1/+5 = 1/5

A mattre tore i having a ale all mattree are 30 % off nate want to know the ale price of a mattre that i regulary 1000

Answers

Sale price of the mattress is $700.

What is a sales price in math?

The price after the original price has been reduced by a discount.

The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

Mattress that is of $1000 is sold at  discount 30%.

Original price of mattress = $1000

Percentage of discount on mattresses = 30%

So,

Amount of discount on mattresses

= [ 30 / 100 ] × 1000

= $300                        

sale price of the mattresses = $1000 - $300 = $700

Therefore, the sale price of the mattresses is $700.

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I don’t understand, someone please help

Answers

a)

The rate of change is of 3, hence the hourly cost is of $3.The initial value is of 3.50, hence the skate rental fee is of $3.50.

b) The slope-intercept definition of the linear function is given as follows:

y = 3x + 3.50.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change of the output variable relative to the input variable.b is the intercept, representing the value of y when x assumes a value of zero.

Two points on the linear function in this problem are given as follows:

(2, 9.50) and (5, 18.50).

The slope is given by the division of the change in y by the change in x, hence:

m = (18.50 - 9.5)/(5 - 2)

m = 9/3

m = 3.

Representing the hourly charge.

Hence:

y = 3x + b.

When x = 2, y = 9.50, hence the intercept b, representing the rental fee, is given as follows:

9.5 = 3(2) + b

b = 3.50.

Meaning that the function is defined as follows:

y = 3x + 3.5.

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Which statement are true about xyz

Answers

Xyz is true . The statement

working at their respective constant rates, machine 1ii makes 240 copies in 8 minutes and machine 2iiii makes 240 copies in 5 minutes. at these rates, how many more copies does machine 2iiii make in 4 minutes than machine 1ii makes in 6 minutes?

Answers

On solving the provided question we can say that by unitary method number of extra copies made by machine 2 = 192 – 180 = 12

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen.

In 8 minutes, Machine 1 produces 240 copies. In 5 minutes, machine 2 produces 240 copies. The rates of operation for each machine are constant.

machine 1 makes 240 = 8 mins

[tex]1 min = 240/8 = 30\\6 min = 3 X 6 = 180[/tex]

In 5 minutes, machine 2 produces 240 copies.

[tex]1 min = 240/5 = 48\\4 min = 192[/tex]

number of extra copies made by machine 2

[tex]= 192 – 180\\ = 12[/tex]

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The Math Club is selling shirts as a fund-raiser. The company charges a set-up fee plus a certain cost for each shirt. The function rule C = 9n + 45 represents the Math Club's cost, with C representing the total cost of the order, and n representing the number of shirts. What could the numbers in the function represent? Select all that apply.
Responses
45 is the minimum number of shirts
45 is the minimum number of shirts

9 is the price per shirt.
9 is the price per shirt.

9 is the initial set-up fee charged to design the shirts.
9 is the initial set-up fee charged to design the shirts.

45 is the price per shirt.
45 is the price per shirt.

45 is the initial set-up fee charged to design the shirts.
45 is the initial set-up fee charged to design the shirts.

Answers

Answer: The function rule C = 9n + 45 represents the cost of the shirts that the Math Club is selling. The variable C represents the total cost of the order and the variable n represents the number of shirts.

The number 9 in the function represents the price per shirt, this is because as the number of shirts increases by 1, the total cost increases by 9. This tells us that the cost of each shirt is $9.

The number 45 in the function represents the initial set-up fee charged to design the shirts. This is because even if no shirts are ordered, there is still a cost of $45. This represents a fixed cost that the Math Club must pay to have the shirts designed.

Step-by-step explanation:

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.
A(−7, — 5), B(-2, 0); 1 to 4
The coordinates of P are

Answers

Therefore , the solution of the given problem of ratio comes out to be  the coordinate P = (7, 0.4).

A ratio is defined.

A ratio as well as fraction in mathematics shows how frequently one value is present in another. For instance, if there are eight grapefruit and six lemons in a fruit plate, the ratio from oranges to citrus is eight to six, or 8:6, which is comparable to the ratios 4:3 or the decimal 1.333.

Here,

Ratios are a useful tool for segmenting lines into smaller units.

P's coordinate is P = (7, -0.4)

The criteria are as follows:

A = (8,0)\sB = (3,-2) (3,-2)

m: n=1:4

Using P = mx2+nx1 my2+ny

m+n

m+n, line ratio is computed.

The result is:

P 1x3+4x8 /1x-2+4x0 = 1+4 / 7

=> P = 35, 2

=>P = (7, -0.4) (7, -0.4)

1+4

P therefore has the coordinate P = (7, 0.4).

Therefore , the solution of the given problem of ratio comes out to be  the coordinate P = (7, 0.4).

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How do you use table formulas?

Answers

There are different tables used in mathematics i.e. logarithmic tables, semi-logarithmic tables, exponential tables, trigonometric function tables, etc.

The tables are provided with data that is needed for the calculations. For example: if the value of Sin 45° needs to be found then we have to move to the table of Sin Θ and then follow the rows of angles where the value of Sin 45° can be obtained. Similarly, the values of other functions can be found in this way. However, the trigonometric table also provides the relation between two functions like Tan Θ= [tex]\frac{SinΘ}{CosΘ}[/tex].

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Hi. would you please help me? I don't understand how use the numbers (answer choices) in possible factors and sum of the factors

Answers

Factors of polynomial x²+5x+6 are -2,-3.

What are polynomials?

Polynomials are algebraic expressions made up of coefficients and variables. Occasionally, variables are referred to as indeterminates. For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all possible; however, division by variable is not. x2+x-12 is an illustration of a single-variable polynomial. Three terms are involved in this example: x2, x, and -12.

The expression is categorised as monomial based on how many terms are included in it:

An expression with just one term is referred to as a monomial. A monomial expression must have a single term that is not zero in order to qualify. A Monomial examples include 5x and 3.

Binomial:-

An expression of a polynomial with exactly two terms is called a binomial.  Examples of binomials are:

– 5x+3, 6a^4 + 17x.

Trinomial:-A trinomial is an expression which is composed of exactly three terms. A Examples of trinomial expressions are:

– 8a^4+2x+7, 4x^2 + 9x + 7.

Now Given polynomial is x^2+5x+6

To find factors put it equal to zero

x^2+3x+2x+6=0

x(x+3)+2(x+3)=0

x+3=0, x+2=0

x=-2,-3

Hence, The factors of the given polynomial are -2,-3.

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any one good at math that can help here

Answers

So on n solving the provided question, we can say that the value of the slope intercept is 2x - 3y -12 =0

what is slope intercept?

In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.

Given, x - intercept of a line is 6

so,

The line will pass through the point (6, 0)

Also given. the y - intercept ofthe line is —4 c = —4

So, the line will pass through the point (0, —4)

Now,

Slope, m = y2 - y1/x2 - x1

m = -4-0/0-6 = 2/3

y = mx + c

y = 2x/3 - 4

3y = 2x - 12

2x - 3y -12 =0

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Help me I really need to answer to this thanks

Answers

Answer:

Please provide a question to be answered, as you have only given us the piecewise function that would be used to solve a problem.

Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure
x1+4x2 =11
2x1+7x2=18

Answers

The equations ( x1+4x2 ) = 11 and ( 2x1+7x2 ) = 18 give the solution as x1 = -5 and x2 = 4.

In order to solve the equation using elementary row operation it is required to multiply the first equation with -2, so that the term with x1 is eliminated from both equations and the value of x2 can be found.

Now

-2. ( x1+4x2 ) = -2 . 11

(-2x1 - 8x2 ) = -22

Now, this equation is added to the second equation (the left-hand sides of both equations are added together and the right-hand side of the equations are added together).

(-2x1 - 8x2 ) + ( 2x1+7x2 ) = ( -22 + 18 )

-2x1 + 2x1  - 8x2  + 7x2  = -4

-x2 =  -4

(x2 = 4)

The value of x2 = 4 is now put in equation 1 to get the value of x1,

( x1 + 4x2 ) = 11

x1+ 4 (4) =  11

x1 + 16 = 11

x1 = (11 - 16)

(x1 = - 5)

So solution is x1 =  -5 and x2 = 4.

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Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X.

Answers

The measure of angle ∠CXA is 134°

What is the Isosceles triangle?

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Triangle ABC is an isosceles triangle where AB = BC

∵ AB = BC

- The base angles in the isosceles triangle are congruent

∴ m∠BAC = m∠BCA

∵ m∠ BCA = 46° ⇒ given

∴ m∠ BAC = 46°

- The sum of the measures of the interior angles in any triangle is 180°

∵ m∠BAC + m∠BCA + m∠ABC = 180°

- Substitute the values of angle BAC and BCA in the equation above

∴ 46 + 46 + m∠ABC = 180

∴ 92 + m∠ABC = 180

- Subtract 92 from both sides

∴ m∠ABC = 88°

- BF, AD, and CE are bisectors segments of angles B, A, and C and they are intersected at point X

∵ CE bisects ∠BCA

∵ X ∈ CE

∴ m∠XCA = 1/2 m∠BCA

∴ m∠XCA = 1/2 (46) = 23°

∵ AD bisects ∠BAC

∵ X ∈ AD

∴ m∠XAC = 1/2 m∠BAC

∴ m∠XAC = 1/2 (46) = 23°

- In Δ AXC

∵ m∠XAC = 23° ⇒ proved

∵ m∠XCA = 23° ⇒ proved

∵ m∠CXA + m∠XAC + m∠XCA = 180° ⇒ interior angles of Δ

Substitute the values of angles XAC and XCA

∴ m∠AXC + 23 + 23 = 180

∴ m∠CXA + 46 = 180

- Subtract 46 from both sides

∴ m∠CXA = 134°

Hence, The measure of angle ∠CXA is 134°.

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The complete question is:

Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X. triangle ABC with diagonals BF, AD, and EC that intersect at point X If segment BA is congruent to segment BC and m∠BCA = 46°, what is m∠CXA?

In the first table of values, how does n differ from f(n)? in other words, what do n and f(n) mean?​

Answers

N and f(n) is totally different by their own circumstances.

how does n differ from f(n)?

N is independent variables

And f(n) is dependent variable

These are the main difference about n and f(n),You can typically depend on f(n) to represent the value of the function f at n. fn might mean f(n), especially when the domain is natural numbers, but it usually denotes the nth function in a sequence of functions.

F(a,b) would mean that the function takes two values, a and b. Your function takes one argument, n.

For example, f(n) might be the number of eggs in n packages, where each package has a dozen eggs. That would be f(n) = 12n, so f(3) = 12 * 3 = 36.

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Melissa purchased a new car. the car had a list price of $20,540. melissa made a down payment of $3,900 and financed the rest, paying 8.6% interest compounded monthly over a payment period of 5 years. if melissa also had to pay 8.25% sales tax, a $995 vehicle registration fee, and a $57 documentation fee, what is her monthly payment?

Answers

Melissa's monthly payment is $450 if the down payment is $3,900.

To calculate the monthly payment, we first need to calculate the total amount financed. This is done by adding the list price of the car ($20,540), the sales tax (8.25% of $20,540 = $1,690.35), the registration fee ($995), and the documentation fee ($57) for a total of $23,282.35.

We then need to calculate the total amount of interest that Melissa will pay over the 5-year loan period. This is done by multiplying the interest rate (8.6%) by the total amount financed ($23,282.35) and multiplying that by the number of years (5).

This gives us a total interest payment of $7,634.84. We then add the total amount financed ($23,282.35) and the total interest payment ($7,634.84) and subtract the down payment ($3,900), which gives us the total amount that Melissa will pay over the 5-year loan period: $27,016.99.

We then divide this total amount by the number of months in the loan period (60) to get the monthly payment: of $450

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