Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?

Describe a series of at least two similar transformations that will transform polygon ABCDE into ΔA’B’C’D’E’: here is more than one way to transform polygon ABCDE into polygon A’B’C’D’E’.

Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.

Answer:

First question: D Second question: A

Step-by-step explanation:

Use the formulas given and plug them in

Answer:

Part 1: Already solved.

Part 2: 1 quesadilla.

Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.

So, your interquartile range is 1 quesadilla.

Hope this helps!

Answer:

1

Step-by-step explanation:

On khan

Answer:

solution,

Angles in a straight line ( linear pair)= 180°

180°-110°=70°

Now,

Sum of angle in triangle= 180°

[tex]70 + x + x + 70 = 180 \\ or \: 70 + 2x + 70 = 180 \\ or \: 140 + 2x = 180 \\ or \: 2x = 180 - 140 \\ or \: 2x = 40 \\ or \: x = \frac{40}{2} \\ x = 20[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

25

Step-by-step explanation:

i think and if you get it wrong am sorry

Answer:

x

Step-by-step explanation:

Answer:

7i.

Step-by-step explanation:

Note : The given expression must be [tex]\sqrt{-49}[/tex].

We have to write this radical value in the imaginary value.

The given value can be rewritten as

[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]

[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex]    [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\sqrt{-49}=7\times i[/tex]    [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{-49}=7i[/tex]

Therefore, the required expression is 7i.

Answer:

805

Step-by-step explanation:

Scaling up by a factor of ten means that you must multiply the original number by 10. Because 10 has one zero, the best way to figure this out is just moving the decimal to the right ONCE (just like there is ONE zero)! This gives us 805.

If you have any other questions about this concept, please comment on my answer!!

Answer:

5 cm

Step-by-step explanation:

Area of 3 cm circle

A = pi r^2 = pi *3^2 = 9pi

Area of 4 cm circle

A = pi r^2 = pi *4^2 = 16pi

The area of the new circle is 16pi+9pi = 25 pi

25 pi = pi r^2

Divide each side by pi

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 = r

The radius is 5

Answer:

that doesnt make sense dooooooode

Step-by-step explanation:

lol

Answer:

Step-by-step explanation:

[tex]5*\frac{9}{10}=1*\frac{9}{2}=\frac{9}{2}=4\frac{1}{2}[/tex]

Answer:

Circumference = 81.64 inches

Please choose the closest out of the provided choices or post them if necessary.

Step-by-step explanation:

Circumference = diameter * pi

= 26 * 3.14

= 81.64

Answer:

the point on the plane (-15, 5)

Step-by-step explanation:

These lines are:

1)  a vertical line (x=-15) which implies that all x values of the points that it contains have coordinate x= -15

2) a horizontal line (y=5) which implies that all y values of the points that it contains have coordinate y = 5

Then the intersection must occur at x = -15 and y = 5, that is at the point (-15, 5)

Answer:

A

Step-by-step explanation:

will take long to explain...but am sure it's A

Answer:

x= 3/2 = 1.5

Step-by-step explanation:

● 5(4x-10)+10x =4(2x-3)+2(x-4)

Simplify the products

● 5*4x-5*10+10x = 4*2x-4*3+2*x-2*4

● 20x-50+10x = 8x-12+2x-8

Add the terms that don't contain x with each other

●20x-50+10x = 8x-20+2x

Add 20 in both sides

●20x-50+20+10x = 8x-20+2x+20

●20x-30+10x = 8x+2x

Add together the terms that contain x

●30x -30 = 10x

Add -10x in both sides

●30x-30-10x = 10x-10x

● 20x -30 = 0

Add 30 in both sides

● 20x-30+30 = 30

● 20x = 30

Divide both sides by 20

●20x/20 = 30/20

● x= 30/20

● x= 3/2

● x= 1.5

Answer:

3/2

Step-by-step explanation:

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▹ Answer

4a - b + 1/2b

▹ Step-by-Step Explanation

5a - b -a + 1/2b

Collect like terms

4a - b + 1/2b

Final Answer

4a - b + 1/2b

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

2/3

Step-by-step explanation:

We are told in the question that

If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall

9 foot by 10 foot wall = an area of 9 × 10 = 90ft² × 2 coats of paint = 1 quart of paint

We are to find how many quarts of paint are needed

how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall .

10 × 12 = 120ft² × 1 coat of paint = x quart

Mathematically, if

One quart of paint = 90ft² × 2

x quart of paint = 120ft² × 1

Cross multiply

90ft²× 2 × x = 120ft²

x = 120/180

x = 2/3 quart of paint

Answer:2/3

Step-by-step explanation:

I did mathcounts

Answer: 62

Step-by-step explanation:

The surface area of a rectangular prism is 2(wl+hl+hw).

Simply plug in the values to get 62

Answer:

62cm ^2

Step-by-step explanation:

every cube has 6 sides,

2(3*5) + 2(2*3)+ 2(2*5)=

2(15)+2(6)+2(10)=

30+12+20=

62

Answer:

B.

Step-by-step explanation:

If you want to find a table with a proportional relationship, you are looking for one where the x-values and y-values increase at the same linear rate.

In Option A, the x-values increase steadily by 1 and then by 2, but the y-values jump around. The numbers are not proportional.

In Option B, every time an x-value is presented, the y-value is two times the value of x. So, this is a proportional relationship.

In Option C, it is true that for almost every time an x-value is presented, the y-value doubles the x-value, but when x is 0, y is 1. That is not a proportional relationship.

In Option D, it is the same thing as Option A.

So, your answer is Option B.

Hope this helps!

Hey there! :)

Answer:

Length = 24 meters.

Width = 8 meters.

Step-by-step explanation:

Recall that to find the area of a rectangle, the formula is as shown:

A = l × w

In this case, the length is 3 times the length of the width, or 3 : 1.

Let w = width, and

3w = length.

Find the value of w by plugging in these values into the equation:

192 = 3w · w

192 = 3w²

Divide both sides by 3:

64 = w²

Square root both sides:

w = 8 meters. This is the width.

The length is equivalent to 3w, so:

3(8) = 24 meters.

Answer:

40

Step-by-step explanation:

Answer:$15

Step-by-step explanation:

From the information given, 6 • 2.5 = 15

Answer:

6 times 2.5 = 15

Step-by-step explanation:

$15....

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▹ Answer

n = 12

▹ Step-by-Step Explanation

n + 42 ÷ -3 = -2

n - 14 = -2

n = -2 + 14

n = 12

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

[tex]n=12[/tex]

Step-by-step explanation:

[tex]n+\frac{42}{-3}=-2[/tex]

[tex]n + -14 = -2[/tex]

[tex]\mathrm{Add\:}14\mathrm{\:to\:both\:sides.}[/tex]

[tex]n + -14+14 = -2+14[/tex]

[tex]\mathrm{Simplify}.[/tex]

[tex]n=12[/tex]

Answer:

Multiplication property of equality

Step-by-step explanation:

Given

Step 4: b = -27/8

Required

Which property justifies it?

First, it should be noted that step 4 is a result of step 3

When step 3 is multiplied by 3/8 on both sides, we have step 4;

i.e.

[tex]\frac{8}{3b} = -9[/tex]

[tex]\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}[/tex]

[tex]b = -9 * \frac{3}{8}[/tex]

[tex]b = \frac{-9 * 3}{8}[/tex]

[tex]b = \frac{-27}{8}[/tex]

The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality

Answer: 2√ 10

Step-by-step explanation:

Answer:

D) 1040- EZ Form

Step-by-step explanation:

Hope this helps!

Answer:

Has exactly one pair of parallel sides.

Step-by-step explanation:

Has exactly one pair of parallel sides.

Answer:

C. Both A & B

Step-by-step explanation:

Solve the equations given:

Equation A:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 11x and add 7 to both sides:

16x (-11x) - 7 (+7) = 11x (-11x) - 32 (+7)

16x - 11x = -32 + 7

Simplify. Combine like terms:

16x - 11x = -32 + 7

5x = -25

Isolate the variable, x. Divide 5 from both sides:

(5x)/5 = (-25)/5

x = -25/5

x = -5

Equation A is an answer choice.

Equation B:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 10 & subtract 2x from both sides:

-4x (-2x) - 10 (+10) = 2x (-2x) + 20 (+10)

-4x - 2x = 20 + 10

Simplify. Combine like terms:

-4x - 2x = 20 + 10

-6x = 30

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (30)/-6

x = 30/-6

x = -5

Equation B is also an answer choice.

C. Both A & B is your answer.

~

Answer:

120958130

Step-by-step explanation:

w=18473292

102484838+18473292=120958130

HOPE THIS HELP!

Answer:

120958130

Step-by-step explanation:

102484838+18473292=120958130

Answer: 10.

Step-by-step explanation:

You are given the equation

(ax+b)(ax+c)=4x^2-25

Expand the Left hand side by opening the bracket.

a^2x^2 + axc + abx + bc

a^2x^2 + (axc + abx) + bc = 4x^2 + 0x - 25

From the equation above, we can see that;

a^2x^2 = 4x^2

a^2 = 4

a =  √4

a = 2

Also, axc + abx = 0x

axc = abx

ax will cancel out from both sides

c = b

From the equation, bc = 25

But c = b. Substitute c for b

b^2 = 25

b =  √25

b = 5 = c

b + c is therefore 5 + 5 = 10