In the following diagram CDFG ~ HJLK. use this information to find the value x.

Answer:

(C) Annie did not make a mistake

Step-by-step explanation:

To isolate the variable k in the equation [tex]7.5 + k = 10[/tex], we'd have to subtract 7.5 from both sides so we just had k on one side.

This is exactly what Annie did, and therefore, her answer is correct.

Hope this helped!

Answer:

C. Annie did not make a mistake

Step-by-step explanation:

Substitute 2.5 for k in the equation and see if it is correct

Each time you substitute you should see that Annie answered the equation correctly

Answer:

  216°

Step-by-step explanation:

The ratio of the sum of smallest and largest to the total of all angles is ...

  (9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4

__

The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...

  180°(5 -2) = 540°

Then the sum of smallest and largest angles is ...

  0.4(540°) = 216°

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

The length line KE and BE both equal 28.

Option (B) is correct.

Find the length of KE.

Figure which is formed by two rays or lines that shares a common endpoint.

Given that:

Let the value of

P = 3

Put the value of P

37 - 9 = 28

21 + 7 = 28

So, line KE and BE both equal 28

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Answer: The two choices with the square root of 2 will have irrational answers

Step-by-step explanation: By definition:

As long As you have normal fractions, you have rational numbers.

Square roots of "perfect squares" 4, 9, 16, 25, etc. can be rational numbers. The square roots of anything else and pi will be irrational.

Answer:

1875 cm3

Step-by-step explanation:

20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3

Answer:

1,875

Step-by-step explanation:

Answer:

measure A is half 110

measure B is (180-A)

so A is 55 , and B is 125

Answer:

measure A is half 110

measure B is (180-A)

so A is 55 , and B is 125

Step-by-step explanation:

Answer:

The scaling factor is 4.

Step-by-step explanation:

To find the scaling factor from A to B, we must know that these are similar triangles.  Since this is not stated in the problem, we will assume these are similar triangles.

Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions.  With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.

40 / 10 = 4

44 / 11 = 4

72 / 18 = 4

Notice how each of the sides from triangle B to triangle A has the same multiple, 4.  This tells us that the scale from A to B is 4.

Hence, the scaling factor is 4.

Cheers.

14/6 = 22/x

Cross multiply:

14x = 132

Divide each side by 14

x = 9.4

Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

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Answer:

see explanation

Step-by-step explanation:

Given

(x + 2)² = 25 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{25}[/tex] ← Step 1

x + 2 = ± 5 ← Step 2 ( subtract 2 from both sides )

x = - 2 ± 5 ← Step 3

Answer:

Volume is units cubed

area is units squared

Units cubed will be the correct label.

We have a solid figure.

We have to determine the correct unit of labelling for this figure.

An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.

Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.

The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).

Hence, units cubed will be the correct label.

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Answer:

9.49

Step-by-step explanation:

Add the price of the chips and salsa to the price of the tacos

5.50

+3.99

---------------

9.49

Answer: $9.49

Step-by-step explanation:

0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49

$5.50

+$3.99

————

$9.49

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

Answer:

7/20

Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.

Answer:

D) 7/20

Step-by-step explanation:

Divide 35 by 100:

35 / 100 = .35

Convert into a fraction and simplify:

[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]

Option D should be the correct answer.

Answer:

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^

Answer:

A. 15

Step-by-step explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

[tex]6a+10=3a+55[/tex]

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

[tex]6a-3a+10=3a-3a+55[/tex]

[tex](6a-3a)+10=55[/tex]

[tex]3a+10=55[/tex]

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

[tex]3a+10-10=55-10[/tex]

[tex]3a=55-10[/tex]

[tex]3a=45[/tex]

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

[tex]3a/3=45/3[/tex]

[tex]a=45/3[/tex]

[tex]a=15[/tex]

The value of a is 15 and choice A is correct.

Answer:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

if u have question let me know in comments ^_^

Answer:

Step-by-step explanation:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

Answer:

Only A is divisible by 24.

Step-by-step explanation:

A number is divisible by 24 if it's divisible by both 3 and 8.

Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.

Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.

944 is divisible by 8, and it makes 118.

So A works.

B is 15746.

[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.

C is 15966.

[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.

[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.

D is 16012.

[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.

Hope this helped!

Answer:

[tex] \frac{3x}{3 - 2x} [/tex]

Step-by-step explanation:

Here,

f(x) = y

[tex]y = \frac{3x}{2x + 3} [/tex]

or , swapping x with y

[tex]x = \frac{3y}{2y + 3} [/tex]

now to solve for y we get

[tex]y = \frac{3x}{3 - 2x} [/tex]

now we put f inverse x instead of y

[tex] {f}^{ - 1} (x) = \frac{3x}{3 - 2x} [/tex]

I am done.

Answer:

D) (0,0)

Step-by-step explanation:

It is a square so each side is 2 units because

8/4 = 2

If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.

We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.

So the other point is (0,0)

Answer:

A. -8

Step-by-step explanation:

[tex]x^2-10x+8=0[/tex]

then we subtract 8 from both sides

[tex]x^2-10x+8-8=0-8[/tex]

[tex]x^2-10x=-8[/tex]

The value on the right side is -8 in the process of completing the square.

Answer:

A. -8

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

To find the area of a parallelogram you need to use the expression A = bh

When you plug that in it will be 120 = 12b

After this, you need to solve (10)

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.

The format is not exactly clear with the expression in the question.

Assuming the expression is '8 * 2n', the coefficient would be 2.

'n' is getting multiplied by '2'.

'8' does not have a variable next to it, so it is just a term in the expression.

The product of 8 and 2 is 16. 16 is not in the expression.

If the expression was '8.2n', 8.2 would be the coefficient.

Brainilest Appreciated.

Answer:

hi :)

Step-by-step explanation:

Y intercept (C)= -5

I think it will help you.

Answer:

Hey there!

For this question we want to find 32% of 1239500.

0.32(1239500)=396640.

Hope this helps :)

Answer:

Step-by-step explanation:

ok so you start off by adding

  14.30

143.08

  19.74

 177.12

177.12 is close to 180 if u estimate in tens, 177 if ones

The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

All real numerals and 0 are included in the category of whole numbers.

The process of adding up the different or more sums or figures.

The sum means plus sing is present between the terms.

The whole numbers are given below,

$14.30, $143.08, and $19.74

Then the summation of the whole numbers is given below.

⇒ $14.30 + $143.08 + $19.74

⇒ $177.12

Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

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