there are 20 students in a homeroom how many different ways can they be chosen to be elected president vice president treasurer and secretary

Answer:

x = [tex]10^{o}[/tex]

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, thus the angle at point E is [tex]90^{o}[/tex]. So that ΔCED is a right triangle, and that;

<CDB = <CDE

<ACD = <ECD

<CDE + <ACD + <CED = [tex]180^{o}[/tex] (sum of angles in a triangle)

6x + (2x + 10) + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

8x + 100 = [tex]180^{o}[/tex]

8x = [tex]180^{o}[/tex] - 100

8x = 80

x = [tex]\frac{80}{8}[/tex]

  = [tex]10^{o}[/tex]

Thus, the value of x is [tex]10^{o}[/tex].

Answer:

60

Step-by-step explanation:

45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.

Hope this helps :D

Answer:

A the silk road.

Step-by-step explanation:

The transmission of Buddhism to China via the Silk Road started in the 1st century CE with a semi-legendary account of an embassy sent to the West by the Chinese Emperor Ming (58–75 CE). The first missionaries and translators of Buddhists scriptures into Chinese were either Parthian, Kushan, Sogdian or Kuchean.

Answer:

63

Step-by-step explanation:

LCD = 63

Equivalent Fractions with the LCD

8/9 = 56/63

1/21 = 3/63

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

Answer:

C=17

Step-by-step explanation:

15^2+8^2=c^2

C^2=289

C=17

Answer: The answer is 0.495

Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!

Answer:

6 / 23

Step-by-step explanation:

The question is not correct, the correct question is:

Leila is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6:17. Find the probability of Leila receiving a gift.

Solution:

Odds provide a measure of the likelihood of a particular outcome occurring. Odds is the ratio of the number of events that produce that outcome to the number that do not.

The probability of an event occurring is the ratio of number of favorable outcomes to the total number of outcomes possible.

Given that the odds in favor of receiving a gift are 6:17. Therefore:

number of favorable outcome = 6, number of unfavorable outcome = 17

Total number of possible outcomes = 6 + 17 = 23

The probability of Leila receiving a gift = number of favorable outcome / Total number of possible outcomes  = 6 / 23

The probability of Leila receiving a gift = 6 / 23

Answer:

[tex]\frac{x-2}{x-1}[/tex] or [tex]1 - \frac{1}{1-x}[/tex]

Step-by-step explanation:

[tex]\frac{x^{2} -x-2}{x^{2} -2x+1}[/tex] * [tex]\frac{x-1}{x+1}[/tex] =

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

[tex]\frac{x-2}{x-1} * 1[/tex] = [tex]\frac{x-2}{x-1}[/tex]

If you want to simplify even more:

[tex]1 - \frac{1}{1-x}[/tex]

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = [tex]\sqrt{20}[/tex]

x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

There are 48.7 cups in total

2/18 of 48.7 cups is needed for volcano

Total amount needed for experiments are :

2/18 of 48.7 = 97.4/18 = 5.411 cups

If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of  that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411

fraction is a mathematical expression representing the division of one whole number by another

Here given that  Rocco has 48.7 cups of flour in his storage unit. He needs 2/18 that amount to use for his homemade volcano.

Hence total number of cups needed for his experiment can be written as :

[tex]\frac{2}{18}\times \text{Total cups}[/tex]

[tex]\frac{2}{18}\times 48.7\\\\\\\frac{2}{180}\times 487\\\\\\\\\frac{974}{180}\\\\ = 5.411[/tex]

If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of  that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411

To learn more about fraction visit : https://brainly.com/question/78672

The algebraic expression to express the function of the total number of times Alex skipped rope will be  y = 50x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Alex skipped a jump rope 50 times every minute as shown by this table. x equals the number of minutes, and y equals the number of times she skipped the rope.

Then the algebraic expression to express the function of the total number of times Alex skipped rope will be

y = 50x

where y be the number of skipped rope and x be the number of minutes.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

y=50x

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

4/10 * 3/9 = 12/90 = 2/15

Answer:

The answer is "a" 5x-4(-3x+5)=-3

Answer:

i think c. y= 4(3)^x

Step-by-step explanation:

let me know if this is incorrect

Answer:

your answer is the last one!

Step-by-step explanation:

Have good day

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

Answer:

a scalene triangle?

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

the answer is C

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

Answer:

CD= 6

Step-by-step explanation:

lmk if im wrong or not :)

Answer:

CD = 6

Step-by-step explanation:

AE is equal to 12.5 and the length of the like excluding CD is 6.5 so CD is 6.

2.5 + 2 + 2 = 6.5

12.5 - 6.5 = 6

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

Answer:

1. x= 9

2. x= −2

3. 51 inches

4. $213.11 each month

Step-by-step explanation:

1. Simplify both sides of the equation.

x + 7 + 7x= 25 + 6x

Combine Like Terms

(x + 7x) + (7)=6x + 25

8x + 7= 6x + 25

8x + 7= 6x + 25

Subtract 6x from both sides.

8x + 7 − 6x= 6x + 25 − 6x

2x + 7= 25

Subtract 7 from both sides.

2x + 7 − 7= 25 − 7

2x= 18

Divide both sides by 2.

2x/2= 18/2

2.  Subtract 5x from both sides.

x − 5x= 5x + 8 − 5x

−4x= 8

Divide both sides by -4.

−4x/−4= 8/−4

3. First find the perimeter of the trapezoid

4 + 3 + 4 + 8= 19

A square has all equal sides

8 * 4= 32

Add them together

19 + 32 = 51 inches

4. Subtract the amount she put for finance from the total

1598.66 - 320 = 1278.66

Then divide that amount by the 6 months

1278.66 divided by 6 = 213.11

$213.11 each month

Answer:

Most males preferred black laptops

Step-by-step explanation:

Answer:

Look it up up

Step-by-step explanation:

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

Set the numbers into numerical order

8 9 11 14 17 23 29 30 32 32 39

Then separate into quarters

[8 9 11] [14 17 23] [29 30 32] 32 39

Answer:

-25

Step-by-step explanation:

hope this helps

Answer:

-25

Step-by-step explanation:

-20-20 is -40.

-40+15 is -25

Hope this helps

Answer:

80

Step-by-step explanation:

Answer:

C.    m∠N = 69°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

m∠L + m∠M + m∠N = 180

36 + 75 + m∠N = 180

111 + m∠N = 180

m∠N = 69°