Which best completes the following sentence?
Triangles are congruent if they have the same

M = mass

p = density

v = volume

Yes, to find m it would be m = pv.

To find v that would be m/p.

Answer:

336

Step-by-step explanation:

The total number of ways to order your favorite 3 desserts from a menu of 8 is 336, the correct option is D.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]D ^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

We are given that;

The number of ways to order 3 desserts from a menu of 8 is given by the combination formula:

C(8,3) = 8! / (3! * (8-3)!) = 56

This means there are 56 different ways to choose 3 desserts from the menu of 8. Once the desserts are chosen, there are 3! = 6 ways to order them.

For 3 desserts from a menu of 8

56 * 6 = 336

Therefore, by  combinations and permutations answer will be 336.

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Answer:

126°

Step-by-step explanation:

(2x +18)° = (3x)°

2x + 18 = 3x

18 = 3x - 2x

18 = x

therefore, (3x)° = (3*18)°= (54)°

[tex]m\angle SRW + (3x)\degree = 180\degree \\

m\angle SRW + 54\degree  = 180\degree \\

m\angle SRW = 180\degree  - 54\degree  \\

\huge\red{\boxed{m\angle SRW = 126\degree}}[/tex]

So the right answer is 147.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

i think its 540

Answer:

540°

Step-by-step explanation:

in in this shape we assume that all interior angles are the same size (congruent) and all sides are the same length. If they are, then a pentagon's interior angles will have a sum of 540°

Step-by-step explanation:

Step 1:  Use two points

[tex](x_1,y_1)[/tex] → [tex](-3, 5)[/tex]

[tex](x_2,y_2)[/tex] → [tex](-2, 2)[/tex]

Step 2:  Find the slope

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

[tex]m = \frac{2 - 5}{-2 - (-3)}[/tex]

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

[tex]m = \frac{-3}{1}[/tex]

[tex]m=-3[/tex]

Answer:  Option A

Answer:

Option A!

Step-by-step explanation:

Answer:

Q1: Because computers have become apart of our everyday lives, your using one right now to read this question!

Q2: CS/IS Research

Q3: 100%

Q4: Traditional Engineering

Q5: Mathematics

Q6: Engineering

Q7: 13%

Answer:

Step-by-step explanation:

Hello!

Your answer would be: C = 2πr

Hope This Helps ;)

Please mark brainliest

Answer:

p = 2 * w + 54

Step-by-step explanation:

To know the number of feet Alice needs, you must calculate the perimeter, the perimeter of a rectangle would be the sum of its sides, that is, twice the width and twice the length.

This time they give us the length that is equal to 27 feet, therefore, the equation of the perimeter would be:

p = 2 * w + 2 * l

p = 2 * w + 2 * 27

p = 2 * w + 54

Therefore, to know exactly what Alice needs, you need to know the value of the width and shortest side.

Step-by-step explanation:

12x34= 408

5678x43= 244154

19x08= 152

12x0987545= 11850540

Answer:

1)408

2)244154

3)152

4) 13825630

Step-by-step explanation:

Hope I helped:)

The value of the given expression is 10.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Given that, expression is √10×√10.

= (√10)²

= 10

Therefore, the value of the given expression is 10.

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Answer: 4

Step-by-step explanation:

#1: 12 pennies

#2: 2 pennies and 2 nickels

#3: 2 pennies and 1 dime

#4: 7 pennies and 1 nickel

Answer:

12a^6b^3 you multiply 4 and 3 to get 12,then you factor out the algebra with the common terms.

Answer:

The trapezoid has a height of 3 inches, a shorter base measuring 2.75 inches, and a longer base measuring 4.25 inches. The total area of the entire figure is 33 square inches.

Step-by-step explanation:

I took the iready diagnostic :)

Answer:The trapezoid has a height of 3 inches, a shorter base measuring 2.75 inches, and a longer base measuring 4.25 inches. The total area of the entire figure is 33 square inches.

Step-by-step explanation:

Answer:

Q3 = 34

Q1 = 24.5

Step-by-step explanation:

Q1  is the middle value in the first half of the data set.

Q3  is the middle value in the second half of the data set.

put the numbers in order

find the median

Answer:

For the triangle, the area is 7.5 in.

For the trapezoid, the area should be 90 cm

Step-by-step explanation:

The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h

Answer:

it is a 26:4 probability if you simplify it it would be 6.5:1

Step-by-step explanation:

The probability of randomly choosing a green candy, replacing that candy and  choosing another green candy is 1/75 and this can be determined by using the given data.

Given :

A bag of Skittles candy contains 8 red, 12 blue, 4 green, and 6 orange.

The following steps can be used in order to determine the probability of randomly choosing a green candy, replacing that candy and  choosing another green candy:

Step 1 - First, determine the total number of candies in the bag.

[tex]\rm Total\; Candy = 8 + 12 + 4 +6[/tex]

[tex]\rm Total\; Candy = 30[/tex]

Step 2 - The total number of green candies in the bag is 4.

Step 3 - So, the probability of randomly choosing a green candy, replacing that candy and  choosing another green candy is:

[tex]P = \dfrac{4}{30}\times \dfrac{3}{30}[/tex]

Step 4 - Simplify the above expression.

[tex]P = \dfrac{12}{900}[/tex]

[tex]p=\dfrac{1}{75}[/tex]

The probability of randomly choosing a green candy, replacing that candy and  choosing another green candy is 1/75.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

the Answer is B.

Step-by-step explanation:

Pythagorean theorem (applicable on right triangles only) says:

Where   and   are the two legs of the triangle and  is the length of the hypotenuse [THE LONGEST SIDE].

We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.

A.

They're not right triangle.

B.

This is a right triangle.

C.

They're not right triangle.

D.

They're not right triangle.

Only B is the right triangle

Answer:

All of them except angle CGD I think :)

Have a nice day, be safe and healthy :)

Hope this helped

formula:

(a+b)^2

= a^2+2ab+b^2

Here, we have x^2  (as in a^2)

and -6x (as in 2ab), which, we're missing the b^2

(I'm not really sure how to describe this but bare with me)

-6/2 (-6 is from the -6x) = -3 (the b)

-3^2 = -3*-3 which is equal to 9 (positive 9)

Writing it out -

x^2-6x+9 = -5

- Addition of inequality -

Since we add 9 to the left side, we have to add 9 to the right side; which gives us:

x^2-6x+9=4

Next, lets put the x^2-6x+9 as in (a+b)^2:

(x-3)^2 = 4

Then let's do the square root of equality (square rooting both sides) :

x-3 = 2

Finally lets add 3 to both sides

x = 5

THE ANSWER IS x=5

Have a nice day, be safe + healthy - Hope this helped

Answer:

40 cm3

Step-by-step explanation:

time it all by each other

Answer:

B, 40 cm

Step-by-step explanation:

Volume Equation:

LxWxH

1x5x8 = 40

  Answer:     4 miles

Step-by-step explanation:

Answer:

the answer is 2,5,8

Step-by-step explanation:

rahh

Answer:

-6,5

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Counter-intuitively, the correct answer is option 1. Option 2 is obviously a cross section, since it is the shape of the base of the triangle. Option 3 is also obviously a cross section, since the figure is a triangular prism. Option 4 is a cross section because, if you slice diagonally, you may create a cross section with a wider base on the bottom and larger on top. However, it is impossible to create a cross section of a rectangle from this square pyramid. Hope this helps!

Answer: C. 35

Step-by-step explanation:

x + 73 + 51 + 21 = 180

180-73-51- 21 = x

x = 35

Answer:

X= 35

Step-by-step explanation:

In order to find X, you need to add all the known angles together

- 73+ 51+ 21+ 145

Because the total degrees of an angle is 180 degrees, you need to subtract the known degrees from the total

- 180- 145= 35  

x = 35

I hope this helps :)

Answer:

la respuesta de cualquier problema de resta es la diferencia

Step-by-step explanation:

no importa cuál sea el problema de la resta, la respuesta siempre se llamará la diferencia

Answer:

[tex]143.76m^2[/tex]

Step-by-step explanation:

Answer:

7cm

Step-by-step explanation:

The radius of the base of the cone is 4.27 cm.

The vertical angle of a cone is also known as the apex angle. The apex angle of a cone is the angle at the top of the cone, where the slant height and the two radii meet.

The formula for calculating the radius of a cone is:

tan(apex angle) = height / radius

In this case, the apex angle is 54°, the height is 6 cm, and we need to find the radius.

tan(54°) = 6 cm / radius

radius = 6 cm / tan(54°)

radius = 4.27 cm

Therefore, the radius of the base of the cone is 4.27 cm.

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Answer:

A

Step-by-step explanation:

I'm not sure, but I hope this helps!!

Answer:

500

Step-by-step explanation:

THE ANSWER IS: -277........

hope this helped