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Find m/EFG.
m/EFG

The transformation of the triangle is the orientation changes and moves the triangle into Quadrant III

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the transformation of the triangle be represented as A

Now , the initial coordinates are ( x , y )

And , on transformation , we get ( x , y ) - ( x - 3 , y + 4 )

Now , the triangle is reflected across the y-axis

So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

And , its orientation has changed and it is now in Quadrant III.

Hence , the triangle is now in Quadrant III

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{135\% of 160}}{\left( \cfrac{135}{100} \right)160}\implies \text{\LARGE 216}[/tex]

Answer:

hope this helps!! <3

Step-by-step explanation:

A fraction is represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

The quadratic equation whose roots are 3 and -3 is x² - 9 = 0.

Given the roots of the quadratic equation;

x = 3 and x = -3

The two real distinct solutions for the quadratic equation are x = 3 and x = -3.

Which means x - 3 and x + 3 are the factors of the equation.

Hence;

( x - 3 )( x + 3 ) = 0

Now, expand using FOIL method

x( x + 3 ) - 3( x + 3 ) = 0

x² + 3x - 3x - 9 = 0

x² - 9 = 0

Therefore, the equation is x² - 9 = 0.

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Answer:

Step-by-step explanation:

We know that the hypotenuse is 20m and one leg is 12m.

Pythagorean Theorem= a^2 + b^2 = c^2

12^2 + b^2 = 20^20

144 + b^2 = 400

b^2 = 256

Square root of 256 = 16

Kenji and Tori are 16 meters away from each other.

If Jemma got 2 out of 20 questions wrong on her most recent math quiz, then the incorrect percent is 10% .

Total number of questions in  the Math's quiz is = 20 ;

Number of incorrect questions done by Jemma is = 2 ;

Number of correct questions done by Jemma are = 18 ;

So , to find the percentage she got incorrect, we divide ; (number of incorrect answers) by (total number of questions) and then multiply by 100 ;

that means ⇒ (2/20) × 100 = 10% ;

Therefore, Jemma got 10% of the questions incorrect on her most recent math quiz.

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The given question is incomplete , the complete question is

If Jemma got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get incorrect ?

The percent error in a measure is given by the formula:

P = 100%*|real value - measure|/real value

Here we know that:

real value = 20.8 cm

measure = 20cm

Replacing that in the formula we will get:

P = 100%*|20.8 cm - 20cm|/20.8cm = 3.8%

That is the percent error.

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Complete question:

Jayden measured a pen to be 20 cm long the actual length of the pen is 20.8 cm, then what is the percentage error?.

Answer:

[tex]-22.8[/tex]

Step-by-step explanation:

[tex]\int^{1}_{0} f'(x) \text{ } dx=f(1)-f(0)=f(1)-3 \\ \\ \\ B=\int^{5}_{1} f'(x) \text{ } dx=12 \implies f(5)-f(1)=12 \\ \\ -7.8-f(1)=12 \implies f(1)=-19.8 \\ \\ \therefore f(1)-3=-19.8-3=-22.8[/tex]

Answer:

Step-by-step explanation:

Add all the number of goals and then divide by 10.

Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.

Subtraction can be done for any numbers or algebraic expressions.

It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be called as finding the difference.

Given that,

Total candies that Jack bought = 5 pounds

Candies given to trick or treaters = 3 pounds

Candies left = 5 - 3 = 2 pounds

Amount of candies ate = 10 ounces

16 ounces = 1 pound

10 ounce = 10 / 16 pounds = 0.625 pounds

Amount of candies ate in pounds = 0.625 pounds

Candies left = 2 - 0.625 = 1.375 pounds

Hence the amount of candies left is 1.375 pounds.

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Your question is incomplete. The complete question is given below.

Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?

Answer:

 No

Step-by-step explanation:

You want to know if the set of even integers has the density property.

The density property states that for any two elements of a set, there are additional elements of the set between them.

There are no even integers between any two consecutive even integers, so the set of even integers does not have the density property.

The number of each type of berry that she can put in her salad would include the following:

Blueberry = 4

Blueberry = 4Strawberry = 10

Blueberry = 4Strawberry = 10Raspberry = 13

The salad that was prepared by Sloan contains the following berries:

Ratio of Blueberry to strawberries = 2:5

The ratio of blueberry and others = 4:23

Therefore,

Since every 2 blueberry = 5 strawberry, 4 blueberry = 10 strawberry.

The quantity of raspberry = 23-10 = 13

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By making linear equation for given graph, slope of line will be 9.75 which is the amount she makes in an hour i.e. E.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given she has a debt of $25 that will be y-intercept.

and as we can see from graph she earns $39 in 4 hours that means $9.75 in an hour which will be slope of line also, then the line will be represented as

y=9.75x-25  where x=hours worked and y=amount earned

hence,

         slope of line will be 9.75 which is the amount she makes in an hour.

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It is not possible to graph f(x) = 100(0.772) without additional information. A function needs at least two points to graph a line. The expression f(x) = 100(0.772) represents a constant value, not a function of x, so it cannot be graphed on its own.

Answer: knvsvvs

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

area of trapezoid formula: 1/2h(a+b)

height=x

x/2(4+8)=36

x/2*12=36

2 and 12 will get cancelled

6x=36

x=36/6

x=6

hope it helped!!!

Answer:

The values of x for which f(x) = g(x) are:

Step-by-step explanation:

To find all the values of x for which f(x) = g(x), equate the given functions:

[tex]\implies f(x)=g(x)[/tex]

[tex]\implies -x^2+5=-2x+2[/tex]

Rearrange the equation so that it is in the quadratic form ax²+bx+c=0:

[tex]\implies -x^2+5+2x-2=0[/tex]

[tex]\implies -x^2+2x+3=0[/tex]

Divide both sides by -1:

[tex]\implies x^2-2x-3=0[/tex]

Factor the quadratic equation:

[tex]\implies x^2-3x+x-3=0[/tex]

[tex]\implies x(x-3)+1(x-3)=0[/tex]

[tex]\implies (x+1)(x-3)=0[/tex]

To solve for x, apply the zero-product property:

[tex](x+1)=0 \implies x=-1[/tex]

[tex](x-3)=0 \implies x=3[/tex]

Therefore, the values of x for which f(x) = g(x) are:

We can check the solutions by substituting each found value of x into the functions.

[tex]f(-1)=-(-1)^2+5=4[/tex]

[tex]g(-1)=-2(-1)+2=4[/tex]

[tex]f(3)=-(3)^2+5=-4[/tex]

[tex]g(3)=-2(3)+2=-4[/tex]

As f(-1) = g(-1) and f(3) = g(3), this proves that the values of x for which f(x) = g(x) are x = -1 or x = 3.

Equate Both equatios and find x

The points are -1,3

With dilation at center (0,0) and a scale factor of 5, the coordinates as we can see from given graph are Q(-3,4), R(-2,-1), T(3,1), W(3,5).

What exactly is dilation?

Dilation is the process of modifying the size of an item or form by reducing or expanding its dimensions according to specific scaling variables. A circle of radius 10 unit, for example, is reduced to a circle with radius 5 unit. This approach is utilised in photography, arts and crafts, and the creation of logos, among other things. There are four primary types of transformations in geometry. They are as follows:

Dilation Properties

Some characteristics of forms that stay constant during dilation changes are:

Now,

As we can see from properties that the image does not change in dilation it stays same and angles are also same.

So, we can see coordinates from the given graph

hence,

         the coordinates as we can see from given graph are Q(-3,4), R(-2,-1), T(3,1), W(3,5).

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8. The depth of the water is solved to be = 2.9 cm (one decimal place).

9 The ratio r: s =√3 : 2.

The  depth of water is calculated by first using Pythagoras theorem to get the level between water level 7 cm and water level when completely full which is 10 cm

= √(10² - 7²)

= √(100 - 49)

= √51

The next step is to subtract from the radius

= 10 - √51

= 2.8586 cm

= 2.9 cm

9. The length of diagonal of a cube is given by the formula

= (√3)·s

The diameter of the sphere is equal to length of diagonal of a cube.

radius of a sphere = diameter / 2

r = (√3)*s / 2

r / s = √3 / 2

hence the ratio is

r : s = √3 : 2

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complete question is attached

Answer:

5894 seconds

Step-by-step explanation:

Convert  1 hour 38 min 14 seconds to seconds​

1 hour = 3600 seconds

1 min = 60 seconds

38 mins = 60 x 38 = 2280 seconds

Now add all numbers together

3600 + 2280 + 14 = 5894 seconds

So, 1 hour 38 minutes 14 seconds is 5894 seconds.

On solving the provided question, we cans ay that inches will evaporate, the equation will be = 12x = 1/2y + 7.43

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

he water evaporates at the rate in a, for 12 hours.

inches will evaporate,

the equation will be = 12x = 1/2y + 7.43

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Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Top problem:

A = πr² = (22/7)(21)² = 1386 ft²

Bottom problem:

r = D/2 = 20/2 = 10 in

A = (22/7)(10)² = 314 in²

Answer:

x=-7/2 (exact form)

x=-3.5 (decimal form)

x=-3 1/2 (mixed number form)

Step-by-step explanation: :)

The value of x by using the addition postulate of an acute angle is 36.

Acute angles are those between 0 and 90 degrees, and those angles are less than 90 degrees. When two rays intersect at a vertex, an angle is created.

An acute angle is one that is smaller than 90 degrees in length and has all internal angles that are less than 90 degrees.

Here, we have an acute angle NCQ that is 70 degrees. Using the addition postulate to determine the value of x, we have:

x + 34 = 70

x = 70 + (-34)

x = 70 - 34

x = 36

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Range of the function shown by the graph is (-∞ , ∞)

Range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest.

The range is the set of possible output values, which are shown on the

y -axis.

Given,

Graph of a function,

Range represents the y-coordinate of the function.

By the graph,

Range of the function is -∞ < y < ∞.

In interval notation,

Range = (-∞ , ∞)

Hence, (-∞ , ∞) is the range of the function shown by the graph.

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The chance of seeing an advertisement on the front page if the newspaper is JKL is 86.3%.

Probabilities:

In science, the probability of an event is a number representing the probability that an event will occur. It is expressed as a number ranging from 0 to 1, or as a number ranging from 0% to 100% using percentage display. The more likely an event is to happen, the more likely it is to happen. The probability of an impossible event is zero. The probability of an event that must happen is 1. The probabilities of two complementary events A and B (A or B) add up to 1.

A simple example is a fair (unbiased) coin toss. When the coin is fair, the two possible outcomes (heads and tails) are equally likely. Since the two outcomes are complementary and the probability of heads is equal to the probability of tails, the probability of each of the two outcomes is 1/2.

Therefore,

After looking at the table, the percentage that represents JKL and a front page advertisement is 86.3%.

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Yes, we can use always the synthetic division for dividing polynomials since it is the easiest way in order to get the quotients of two polynomials.

We use the division of polynomials to find the quotients of two polynomials. Two polynomials can be divided by simply multiplying and dividing by the largest power in each term.

The two different ways to divide polynomials are 1. Long division method and 2. The synthetic division method. The synthetic division method is the quickest way to divide polynomials between these two approaches.

Advantages of performing a Synthetic Division:

Therefore,

We can say

Yes, we can use always the synthetic division for dividing polynomials since it is the easiest way in order to get the quotients of two polynomials.

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