Given the following triangles, what additional information is required in order to know that the triangles are congruent because of the ASA congruence criteria?



QD and ED are congruent
DCQDCE
QC and DE are congruent
CDEDCQ

Answer:

Yes it is equivalent.

Step-by-step explanation:

In this case the only thing that you have to do to know if the two expressions are equivalent are put them on opposite sides of the equation like this:

6f-1= 2f+4f+2-3

When you simplify this you´ll end up with the next equation:

6f-1= 6f -1

In this case you can see that both expressions are equivalent because they are the same once you put them on opposite sides of the equation.

Answer:

(-infinity, -1)

Step-by-step explanation:

If you draw it, it should be easy to see. The vertex is (-1,-7).

There has been no reflection meaning the absolute function is open like the parent is.  

So the absolute value function is decreasing on (-inf,-1)

And increasing on (-1,inf)

The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1).

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given function,

f(x) = |x|

The plot of this has been graphed below,

Now,g(x) |x + 1| - 7

Since x → x + 1 thus the function has shifted left -1 and 7 units down.

So, the interval at which it is decreasing is (-∞,-1).

Hence "The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1)".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ2

Answer

Average/Mean: 13.7 pools

Step-by-step explanation:

When asked to find the average number of anything, you are trying to find the mean.

The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.  

To calculate it:  

• add up all the numbers,  

• then divide by how many numbers there are.

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-2}x+\stackrel{\stackrel{y}{\downarrow }}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}m=(y₂-y₁) / (x₂-x₁)[/tex]

It is given that:

A line with slope –2 and y-intercept 4.

The linear equation in one variable can be made:

As we know,

The standard equation of the line is:

y = mx + c

Here m is the slope and c is the y-intercept.

m = -2

c = 4

y = -2x + 4

Thus, the equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ2

for this question, it ask you to draw out.

j + 6 ≥ 7

j ≥ 7 - 6

j ≥ 1

How to draw it:

1. draw a Solid point on the number"1".

2. draw a small vertical line on the top of the point.

3. draw a long horizontal line to number "1" 's right side, and add an arrow in the end of the line.

First bring 6 to the right side by subtracting 6 to both sides (what you do on one side you must do to the other). Since 6 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

j + 6  ≥  7

j + 6 - 6  ≥  7 - 6

j + 0  ≥  1

j  ≥  1

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

j  ≥ 1  

aka j is greater then or equal to one

This means that the graph will have an colored circle and the arrow will go to the right of 1. (look at the image below)

Hope this helped!

~Just a girl in love with Shawn Mendes

8.54 / 8.75 =0.975

1 - 0.975 = 0.025

0.025 x 100% ( and nearest thenth)

=2.5%

Answer:

2.4%.

Step-by-step explanation:

Consider the formula for percentage change (Mathisfun)

[tex]\displaystyle \rm \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%[/tex].

Note that the old value shall be the one on the denominator.

For this question:

[tex]\displaystyle \rm \begin{aligned}\text{Percentage Change} &= \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%\\ &= \frac{8.75 - 8.54}{8.75}\times 100\%\\&= -2.4\%\end{aligned}[/tex].

The value here is negative, but don't be alerted. A positive value of change indicates an increase, while a negative value of change indicates a decrease. In other words, the stock price dropped by 2.4%.

The answer will be 238,900 miles.

If you round off 238, 854 to the nearest hundreds, you get

238,900 in miles.

Hope this helps!!!

Mark Brainliest!!!

Answer: 615 ft²

Step-by-step explanation:

There are 4 walls - assume that the floor and ceiling are not being painted.

2 walls are 17 ft by 9 ft ⇒ 2(17)(9) = 306 ft²

The other 2 walls are 18 ft by 9 ft ⇒ 2(18)(9) = 324 ft²

1 window is 3.75 ft by 4 ft ⇒ 1(3.75)(4) = 15 ft²

2 walls + other 2 walls - 1 window ⇒ 306 + 324 - 15 = 615 ft²

Answer:

The total area that must be paintedis 615ft^2

Step-by-step explanation:

Here we need to calculate the total surface of the room that will be painted, this would be:

The 4 inner walls.

Minus the area of the window, that will not be painted.

I also assume that the floor and the ceiling will not be painted.

the dimensions of the room are:

17 feet long.

18 feet wide.

9 feet high.

So we will have:

two walls of 17 feet by 9 feet.

two walls of 18 feet by 9 feet.

Then the total surface of the walls is:

S = 2*(17ft*9ft) + 2*(18ft*9ft) = 630 ft^2

And the window is 3 feet 9 inches bt 4 feet.

first, we have that 1 feet = 12 inches.

then 9 inches is equivalent to:

9/12 feet = 0.75 feet.

So the area of the window is:

W = 3.75ft*4ft = 15ft^2

the difference is:

A = 630ft^2 - 15ft^2 = 615ft^2

[tex](g \circ f)(y)=(y-1)^3-2(y-1)-1\\(g \circ f)(y)=y^3 - 3 y^2 + 3 y - 1-2y+2-1\\(g \circ f)(y)=y^3 - 3 y^2 +y\\\\(g \circ f)(-6)=(-6)^3-3\cdot(-6)^2+(-6)\\(g \circ f)(-6)=-216-108-6\\(g \circ f)(-6)=-330[/tex]

Answer:

Multiply by three for every number 1*3 =3 3*3=9 9*3=27

Step-by-step explanation:

Common ratio of the geometric sequence is 3.

A geometric sequence is a sequence in which the ratio of two consecutive terms is a fixed ratio.

Given,

Geometric sequence: 1, 3, 9, 27

The ratio of second and first term = 3/1

                                                        = 3

Similarly, the ratio of third and second term = 9/3

                                                                         = 3

Hence, the common ratio of the geometric sequence is 3.

To learn more about geometric sequence visit:

https://brainly.com/question/12687794

#SPJ1

Answer:

Step-by-step explanation:

area= base ×altitude

=9×4

=36 square units

Answer:

I Do RSM as well.

Step-by-step explanation:

The answer is going to be the base times the altitude. 9x4=36 sq units

Answer:

The function of the graph is y = 3 cos (4x) ⇒ answer A

Step-by-step explanation:

- If the equation is y = A cos (B x)  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

  divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

* Lets look to the graph

- The maximum value is 3 and the minimum value is -3

∵ The height from the maximum point to the minimum point is

   3 - (-3) = 3 + 3 = 6

∴ The amplitude is 6/2 = 3

∵ A is the amplitude

∴ A = 3

- The distance between two consecutive peaks is π/2

∵ The period is the distance from one peak to the next peak

∴ The period = π/2

∵ The period = 2π/B

∴ 2π/B = π/2 ⇒ divide both sides by π

∴ 2/B = 1/2 ⇒ by using cross multiplication

∴ B = 4

- Lets write the form of the function

∵ y = A cos (Bx)

∵ A = 3 and B = 4

∴ y = 3 cos (4x)

* The function of the graph is y = 3 cos (4x)

Answer:

A

Step-by-step explanation:

To evaluate g(1) substitute x = 1 into g(x), that is

g(1) = 1² + 1 = 1 + 1 = 2 → A

Answer:

2nd option

Step-by-step explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution

Answer:

[tex] \frac { 1 } { x ^ 2 1 y ^ { 1 2 } }[/tex]

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] [ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3[/tex]

[tex]\frac{x^{-3\times 3}.y^{2\times 3}}{x^{4\times 3}.y^{6\times3} }[/tex]

[tex]\frac{x^{-9}y^6}{x^{12}y^{18}}[/tex]

[tex]x^{-9-12}.y^{6-12}[/tex]

[tex]x^-21.y^{-12}[/tex]

This can also be written as:

[tex]\frac{1}{x^21y^{12}}[/tex]

Answer:

[tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]

Step-by-step explanation:

We have the following expression: [tex]4m^{2}n = 49[/tex] and we need to solve it for 'm'. Above the steps:

[tex]4m^{2}n = 49[/tex] ⇒ [tex]m^{2} = \frac{49}{4n}[/tex]

Taking the square rooth of both sides:

[tex]m = \sqrt{\frac{49}{4n}}[/tex] ⇒ [tex]m = \frac{7}{2\sqrt{n}}[/tex]

⇒ [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]

Then, the result is:  [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]

Answer:

C

Step-by-step explanation:

By observation, and inspecting the 2 given points closely, we can immediately see that both points have  y = -2 as common y-ordinates .

This means that the horizontal  line y =-2 joins these 2 points.

Answer C is correct.

Answer:

C

Step-by-step explanation:

use slope formula and slope-intercept form Y=mx=b

Answer: 64%

Step-by-step explanation:

You would divide 50 by 32 (32/50), and get the decimal 0.64. Multiply 0.64 by 100 and you will get 64, your percent.

Answer:

You will have approximately  

4 , 049.58   in your account in 10 years

Step-by-step explanation:

To calculate the future value of $3000 deposited in an account with an 8% annual interest rate compounded monthly over 10 years, use the compound interest formula [tex]A = P(1 + r/n)^{(nt)}[/tex], resulting in approximately $6,658.93.

You want to find out how much money you will have in an account after 10 years when you deposit $3000 with an annual interest rate of 8% compounded monthly. To solve this, you can use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (initial deposit or loan amount)

r = the annual interest rate (decimal)

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

t = the time the money is invested or borrowed for, in years

Given the data:

P = $3000

r = 0.08 (since 8% = 0.08 when converted to a decimal)

n = 12 (monthly compounding)

t = 10 years

You can now calculate:

A = 3000(1 + 0.08/12)¹²⁰

Then:

A ≈ 3000(1 + 0.0066667)¹²⁰

A ≈ 3000(1.0066667)¹²⁰

A ≈ 3000(2.21964)

A ≈ $6,658.93

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3+2}{4+1}[/tex] = [tex]\frac{5}{5}[/tex] = 1

Answer:

x = -2 or x = 7

Step-by-step explanation:

x - 7 = 0 or x + 2 = 0

x = 7 or x = - 2

Answer:

  the roots are x = -2, +7

Step-by-step explanation:

The roots are the values of x that make one of the factors be zero. Whenever a factor is zero, the product is zero.

To make x+2 = 0, x = -2.

To make x-7 = 0, x = 7.

Answer:

7y - 3 / x  

Step-by-step explanation:

So , first you have to Simplify y/x

 ( 0 -  3/x ) +  ( 7   •    y/x )

Then simplify 3/x

 ( 0 -  3/x )  +  7y/x

Then add the fractions which have a common denominator

(Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible)

-3 + 7y/x  =  7y - 3/x  

you'll get your answer as : 7y-3 / x                        

Answer:

[tex]\frac{7y-3}{x}[/tex]

Step-by-step explanation:

Since the fractions have a common denominator of x, combine them by adding the numerators and leaving the denominator, that is

[tex]\frac{-3+7y}{x}[/tex] = [tex]\frac{7y-3}{x}[/tex]

Hello!

Answer:

[tex]\boxed{A=7}\checkmark[/tex]

The answer should have a positive sign.

Step-by-step explanation:

First, you add by 16 from both sides of an equation.

[tex]8a-16+16=40+16[/tex]

Then, simplify.

[tex]40+16=56[/tex]

[tex]8a=56[/tex]

Therefore, divide by 8 from both sides of an equation.

[tex]\frac{8a}{8}=\frac{56}{8}[/tex]

Finally, you simplify and solve to find the answer.

[tex]56\div 8 =7[/tex]

[tex]\boxed{x=7}[/tex], which is our correct answer.

I hope this helps you!

Have a great day! :)

-Charlie

To solve for a you must isolate it, meaning that a must be the only thing on the left side of the equation.

To do this first add 16 to both sides (what you do on one side you must do to the other). Since 16 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

8a + (- 16 + 16) = 40 + 16

8a + 0 = 56

8a = 56

Next divide 8 to both sides to finish isolating a. Since 8 is being multiplied by a, division (the opposite of multiplication) will cancel 8 out (in this case it will make 8 one) from the left side and bring it over to the right side.

8a/8 = 56/8

1a = 7

a = 7

Check:

8(7) - 16 = 40

56 - 16 = 40

40 = 40

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

⅓, -1⃣ = x

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

the probability is 7/9

The probability that a student is a girl given that they scored an A on the test is 0.54.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use Bayes' theorem to find the probability that a randomly chosen girl scored an A on the test.

Let's define the following events:

A = student scored an A on the test

G = student is a girl

We want to find P(A|G), the probability that a randomly chosen girl scored an A on the test.

First, we can use the law of total probability to find the probability that a randomly chosen student scored an A:

P(A) = P(A|B) x P(B) + P(A|G) x P(G)

where B represents the event that a student is a boy.

From the problem statement, we know that 55% of the class are boys and 45% are girls, so:

P(B) = 0.55

P(G) = 0.45

We also know that 25% of the boys and 35% of the girls scored an A on the test, so:

P(A|B) = 0.25

P(A|G) = 0.35

Plugging in these values, we get:

P(A) = (0.25)(0.55) + (0.35)(0.45) = 0.29

Next, we can use Bayes' theorem to find P(A|G):

P(A|G) = P(G|A) x P(A) / P(G)

where P(G|A) is the probability that a student is a girl given that they scored an A on the test. This is what we want to find.

To find P(G|A), we can use the formula:

P(G|A) = P(A|G) x P(G) / P(A)

Plugging in the values we know, we get:

P(G|A) = (0.35)(0.45) / 0.29 = 0.54

Rounding to the nearest hundredth, we get:

P(A|G) ≈ 0.54.

Thus,

The probability that a student is a girl given that they scored an A on the test is 0.54.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

Answer:

A sector is a portion of a circle, it is the area between to radii and the connecting arc. Imagining a circle as a cake, a sector would be equivalent to a slice of cake. Therefore the formula for the area of a sector is equivalent to the total area of the circle multiplied by the angle proportion of the sector. Where, angle proportion of the sector = angle of sector / total angle of circle (360 degree) With this, the correct answer is: "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer: Option A

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

Answer:   (4,-5) is the answer

Look at the first image below for the known points...

Since this is a rectangle the missing point must align underneath the point (4, -3). This means that the missing point will need to have an x value of 4

The missing point must also align to the right to the point (-2, -5). This means that the missing point will need to have a y value of -5

This makes the missing point...

(4, -5)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: I'm assuming you just need to graph each ordered pair without doing anything else to them. The first number in the ordered pair is called the x-intercept, the second number is the y-intercept. To graph an ordered pair you need to count the x-intercept number and go to that number on the x-axis (horizontal), do the same for the y-intercept on the y-axis (vertical) and make a point/dot. Repeat this for the other two ordered pairs.

Answer,

Determine the x-intercept and y-intercept and plot on the graph.

Explanation,

If you already have your three ordered pairs simply start off by determining the x and y intercepts. After you have done this you can plot the x intercept on the x-axis and the y intercept on the y-axis. Repeat for the other two as well.

Here is an example, (5,7)

Our x intercept is (5) and our y intercept is (7).  

You should have a graph that looks somewhat like the first picture.

Then you will find where the (5) goes which is on the x-axis. (The x-axis is the horizontal line)

Then you will find where the (7) goes which is on the y-axis. (The y-axis is the vertical line.)

The second picture shows the plotted graph.

[tex]2z-15=9\\2z=24\\z=12[/tex]

Answer:

The answer is A. C, and F i took a test and i got it right on edgnuity sis  hope this helps