What must the value of x be in order to prove that
AEFG a AEHG by SSS?

Answer:

Step-by-step explanation:

Answer:

they all are being multiplied by 10

Step-by-step explanation:

0.01 x 10 = 0.1

0.1 x 10 = 1

1 x 10 = 10

10 x 10 = 100

The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).

A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.

The functions are given below.

f(x) = x

g(x) = -3f(x) + 1

g(x) = -3x + 1

The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.

The functions g(x) and f(x) are shown below.

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The linear function with values of f(-1)=8 and f(5)=6 is  f(x) = [tex]\frac{-x+23}{3}[/tex].

What is linear function?

 A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.

Here the given  values are f(-1)=8 and f(5)=6.

We know that f(x)=y , Then the points are (-1,8) and (5,6).

Using slope formula ,

=> slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = -2/6=-1/3

Now using slope formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

=>y-8=-1/3(x+1)

=>3y-24=-x-1

=> 3y=-x+23

=> y = [tex]\frac{-x+23}{3}[/tex]

Hence the linear function is f(x) = [tex]\frac{-x+23}{3}[/tex].

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Answer:

x=1

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

2x + 5 = 7

2x + 5 - 5 = 7 - 5

2x = 2

2x/2 = 2/2

x=1

Answer:

Step-by-step explanation:

Answer:

94.1224489796

this is the answer

The quarterly interest rate is equal to 2.25%. This implies that Gavin is correct.

Mathematically, the compound interest on an investment can be calculated by using this formula:A(t) = P(1 + r/n)^{nt}

Where:A represents the future value.

r represents the interest rate.

n represents the number of times compounded.

P represents the principal.

T represents the time measured in years.

In this scenario, Gavin's savings account is compounded annually at an interest rate of 9%. This ultimately implies that, the equivalent quarterly interest rate would be calculated by dividing the annual interest rate of 9% by 4 as follows:

Quarterly interest rate = 9/4

Quarterly interest rate = 2.25%

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Mr. Pinello wants each container to contain the same number of coloured pencils and markers, the most containers he can create is 16.

What is the Greatest Common Factor?

The biggest positive integer that divides evenly into all the numbers with no remainder is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.

We have,

The number of coloured pencils Mr. Pinello has = 80.

The number of markers and pencils Mr. Pinello has = 60.

The most containers Mr. Pinello can create to ensure that each one contains an identical amount of coloured pencils and markers.

The GCD of the number of coloured pencils and markers will be the largest number of containers to have the same number of items when the same number of items must be preserved.

Calculating the gcd of  and 80 and 64 is:

The greatest common divisor (GCD) of both 80 and 64 is 16.

∴ GCD = 16

Therefore, If Mr. Pinello wants each container to contain the same number of coloured pencils and markers, the most containers he can create is 16.

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The required solution of the given absolute value equation is z = 4/3 and z = 1/3.

Given that,
To solve the absolute value equation |6z-3|=5

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given the absolute value equation,
|6z-3|=5
Simplify,
6z - 3 = ± 5
Taking (+)

6z - 3 = 5
6z = 8
z = 4/3
Taking (-)
6z -3 = -5
z = -1/3

Thus, the required solution of the given absolute value equation is

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Answer:

Step-by-step explanation:

There are four different color marbles.

Probability of blue:

Next, there are 3 marbles left in the bag since no replacement.

Probability of red after blue:

The probability of these two steps in order:

Complement of R is:

Based on the equation y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps, the correct statement is since inheriting the collection, Paul has bought 3 new stamps each week.

According to the question,

We have the following information:

y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps

Now, when we observe this equation carefully, we notice that 3x is added to 40. So, it means that 40 is constant. Then, the number of stamps increasing per week is in the multiplication of 3. Or, in other words, 3 new stamps are bought each week.

For 1st week:

y = 3*1+40

y = 43

For 2nd week:

y = 3*2+40

y = 6+40

y =46

Hence, the correct option is C.

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Answer: Can't Say for sure but probably it is so I would Say Yes.

Answer:

Multiply and divide by √2 . You'll get √22

Step-by-step explanation:

The price for 7 bags of trail mix and 4 bananas is  15.45  dollars.

The expression for x trail bag and y bananas is 1.35x + 1.50y.

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Therefore, the cost of a bag of trail mix at the corner store is 1.35 dollars  and the cost of a banana is 1.5 dollars.

The cost for 7 bags of trail mix and 4 bananas can be computed as follows;

let

x = bags of trail mix

y = number of banana

Therefore,

1.35x + 1.50y

1.35(7) + 1.50(4) = 9.45 + 6 = 15.45

Therefore, let's find the expression for x trail bag and y bananas.

Hence,

1.35x + 1.50y

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The equation to illustrate the information when the football team travels to an away game is 5c + 9v = 47.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Let cars = c

Let van = v

The equation will be 5c + 9v = 47.

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3

x

2

−

3

x

−

60

=

0

Explanation:

A quadratic equation whose roots are

α

and

β

and leading coefficient is

a

is

a

(

x

−

α

)

(

x

−

β

)

=

0

Hence, the quadratic equation whose roots are

5

and

−

4

and leading coefficient is

3

is

3

(

x

−

5

)

(

x

−

(

−

4

)

)

=

0

or

3

(

x

−

5

)

(

x

+

4

)

=

0

or

3

(

x

2

−

5

x

+

4

x

−

20

)

=

0

or

3

(

x

2

−

x

−

20

)

=

0

or

3

x

2

−

3

x

−

60

=

0

Answer:

5x^2+5x-100=0

Step-by-step explanation:

5(x+5)(x-4)=0

(x+5)(x-4)= 0

x= -5

x= 4

The z-score under which 3/4 of the data lies is of:

Z = 0.675.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score under which 75% of the distribution lies is the 75th percentile, hence it is the value of Z with a p-value of 0.75.

Looking at the z-table, this value is of 0.675, as 0.675 is the mean of the p-values of Z = 0.67 and Z = 0.68.

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Answer:

  D(8, -11)

Step-by-step explanation:

You want the coordinates of end point D if C is (2, -3) and the midpoint of CD is M(5, -7).

The midpoint is the average of the endpoint coordinates:

  M = (C +D)/2

Solving for D, we find ...

  D = 2M -C

Then point D is ...

  D = 2(5, -7) -(2, -3) = (2·5-2, 2(-7)+3)

  D = (8, -11)

Answer:

Step-by-step explanation:

there is no question?

The expression equivalent to [tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m[/tex] is m - 2.

Equivalent expressions are expressions that work the same even though they look different.

In other words, equivalent expressions are expressions that have the same value.

Therefore, the expression that is equivalent can be calculated as follows:

[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m[/tex]

Hence, let's simplify the expression to find it's equivalent,

open the bracket

[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = -\frac{21}{2}+2m+\frac{17}{2}-m[/tex]

[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = -\frac{21}{2}+2m+\frac{17}{2}-m = -\frac{21}{2}+\frac{17}{2}+2m-m[/tex]

[tex]-\frac{21}{2}+\frac{17}{2}+2m-m=-\frac{4}{2} + m[/tex] = m - 2

Therefore,

[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = m-2[/tex]

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Answer:

y = ±√100-x

Step-by-step explanation:

To work out the inverse of this function :

We solve for x then swap x and y :

Solving for x :

y = 100 - x²

Add x² to both sides :

x² + y = 100

Subtract y from both sides :

x² = 100-y

Square root both sides :

x = ±√100-y

Now we have solved for x. Now swap x and y :

y = ±√100-x

This is our final answer and is the first option.

Hope this helped and have a good day

The image of the corresponding to each slope is attached

A line's steepness can be determined by looking at its slope.

Slope is determined mathematically as "rise over run" (change in y divided change in x).

assuming slope is m

m = (y₂ - y₁) / (x₂ - x₁) = change in y / change in x

considering the formula

slope is between 0 and 1 when rise (change in y) is so smaller than run (change in x) hence the line is closer to horizontal

slope is greater than 1 then the rise is more than run, in this case the line is approaching vertical line

numbers less than zero are negative hence slope has a negative value

A horizontal line is a line that has a slope of of zero while vertical lines has its slope as infinity

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Answer:13

Step-by-step explanation:

g(1)=2(1)^2-1= 1

g(6)=2(6)^2-6=66

66-1/6-1=13

Answer:

x=20

Step-by-step explanation:

It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20

Answer:

for 20 miles per hour

Step-by-step explanation:

.

The total cost is $1.75

Given that we've done it:

The total price is shown by:

Now, let's display the following in a number line:

So, after seven hops, we arrive at 1.75, which is the correct response.

Hence, the total cost is $1.75

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Answer:

x=-1,x=3/5

Step-by-step explanation:

Those are the two values of x

Answer:

x = 12

Step-by-step explanation:

if l and m are parallel that means that since the two angles are consecutive interior they add to 180

so add them both and set that to 180

9x - 4 + 5x + 16 = 180

now combine like terms

14x + 12 = 180

subtract 12 from both sides

14x = 168

divide everything by 14

x = 12

that is the answer

Answer:

Step-by-step explanation:

Let's find x:-

[tex]\sf 9x-4+5x+16=180^o[/tex]

Combine like terms:-

[tex]\sf 9x+5x-4+16=180[/tex]

[tex]\sf 14x-4+16=180[/tex]

[tex]\sf 14x+12=180[/tex]

Add/Subtract numbers:-

[tex]\sf 14x+12-12=180-12[/tex]

[tex]\sf 14x=168[/tex]

Divide both sides by 14:-

[tex]\sf \cfrac{14x}{14}=\cfrac{168}{14}[/tex]

[tex]\sf x=12^o[/tex]

__________________

Hope this helps!

Have a great day!

The standard form of the equation, 3y = 9x -12, is -5x + y = 0.5. The correct option is the third option -5x+y=0.5

From the question, we are to write the given equation is standard form.

The given equation is

y = 5x + 0.5.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

y = 5x + 0.5

Subtract 5x from both sides of the equation

y - 5x = 5x - 5x + 0.5

y - 5x = 0.5

Rewrite the equation, so that it would correspond to the standard form of a linear equation

-5x + y = 0.5

Hence, the standard form is -5x + y = 0.5

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