find the volume of the prism

Answer:

C

Step-by-step explanation:

We are given that

[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.

Therefore,

[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]

Therefore, angle DCB and angle CDA are interior angles .

Because CA is a transversal line and sum of interior angles is 180 degrees.

When the sum of interior angles formed between two lines  and on same side of transversal line is 180  degrees. Then the lines are parallel.

Therefore, angle DCB and angle CDA are formed between line AD and BC.

Hence, AD is parallel to BC.

Option C is correct.

Answer:

c

Step-by-step explanation:

i had the same question

There are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple using a combination formula.

The question can be solved using  a method called "stars and bars".

Now, we need to find the number of ways to arrange 12 stars and 3 bars. The number of ways to arrange 12 stars and 3 bars in the given formula:

Number of ways = (n + k - 1) choose (k - 1)

Where n is the total number of objects = 12

k is the number of groups =  3

Number of ways = (12 + 3 - 1) choose (3 - 1)

Number of ways = 14 choose 2

The combination formula can be used as:

Number of ways = {14!}{(2! [tex]\times[/tex] (14 - 2)!)}

Number of ways = 14! / (2! * 12!)

Number of ways = (14 * 13) / 2

Number of ways = 91

So, there are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple.

Learn more about combinations here:

https://brainly.com/question/20211959

#SPJ4

Answer:

- 5

Step-by-step explanation:

Substitute x = - 2 into f(x)

f(- 2) = 2(- 2) - 1 = - 4 - 1 = - 5

Answer:

C

Step-by-step explanation:

You can distribute the values or even plug in x=2 and see which one matches.

Answer:

AC = 29

Step-by-step explanation:

We'll begin by calculating AD. This can be obtained as follow:

AB = 29

BD = 17

AD =?

AB² = BD² + AD²

29² = 17² + AD²

841 = 289 + AD²

Collect like terms

841 – 289 = AD²

552 = AD²

Take the square root of both side

AD = √552

Finally, we shall determine AC. This can be obtained as follow:

DC = BD = 17

AD = √552

AC =.?

AC² = DC² + AD²

AC² = 17² + (√552)²

AC² = 289 + 552

AC² = 841

Take the square root of both side

AC = √841

AC = 29

Answer:

do you have a pic of it but i think its 15.75

Step-by-step explanation:

Answer:

I think it is the last answer: She uses exaggeration to emphasize the speakers fear of snake.

Have a Wonderful Day ;) ;D

Answer:

The answer is D! I took the topic test review!

Step-by-step explanation:

D- She uses exaggeration to emphasize the speaker’s fear of snakes.

Answer:

Step-by-step explanation:

C

==============================================================

Explanation:

For any parallelogram, the diagonals always cut each other in half.

This means the pieces that are y+5 and 18 cm long are equal

y+5 = 18

y = 18-5

y = 13

And so are the pieces that are x+y and 16 cm long

x+y = 16

x+13 = 16

x = 16-13

x = 3

Side note: the term "bisecting" is often used when saying "cutting in half".

Answer:

7:52am

Step-by-step explanation:

John leaves by 5:00am

He gets to school after 35 minutes

The time now is 5:00 + 0:35 = 5:35am

After 2 hours and 2 mins of lectures, the time is 5:35 + 2:02 = 7:37am

After 15 minutes, the time is 7:37 + 0:15 = 7:52am

Therefore the answer is 7:52am.

Answer:

g = 1, 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g² - 4g = -3

Step 2: Solve for g

y approaches 5.

As x approaches infinity, -4^(-x) approaches 0.

0 + 5 = 5

Answer:

41.666 cm³ or 41.7 cm³  rounded to the nearest tenth.

Step-by-step explanation:

Volume of a square pyramid = base length² × height ÷ 3

25 × 5/3 = 41. 666

Have a great day:)

Answer:

41.7

Step-by-step explanation:

It says to ROUND which will get you 41.7

Answer:

Step-by-step explanation:

All these amount of money are based on Dan's initial amount, which is x. Ben had 7 more than Dan, so Ben's amount of money is x + 7. Kaden has 4 more than Ben, so Kaden's amount of money is 4 + (x + 7) which is x + 11. So here's the breakdown so far:

Dan: x

Ben: x + 7

Kaden: x + 11

Now it looks like Kaden is the favorite and got another 20 from his mom, so his amount became x + 31. After Dan spends a dollar, making his amount x - 1, Kaden had 9 times what Dan had. Now we have finally:

x + 31 = 9(x - 1) and

x + 31 = 9x - 9 and

40 = 8x so

x = 5.

Dan originally had $5, Ben originally had $12, and Kaden originally had $16

Answer:

There is only one perfect number between 20 to 30 which is 28.

The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.

Answer:

He paid Rs 1,850 to buy the watch

Profit = Rs 185

Step-by-step explanation:

Cost price = x

Profit = 10% of x

Selling price = Rs 2035

Profit = Selling price - cost price

10% of x = 2035 - x

0.1x = 2035 - x

0.1x + x = 2035

1.1x = 2035

x = 2035 / 1.1

x = 1,850

Cost price = x = Rs 1,850

Profit = 10% of x

= 10% of 1,850

= 0.1 × 1850

= 185

Profit = Rs 185

Answer:

0.72 km per hour

Step-by-step explanation:

First, find the speed in meters per hour. Create a proportion where x is this speed:

[tex]\frac{36}{3}[/tex] = [tex]\frac{x}{60}[/tex]

3x = 2160

x = 720

So, the speed is 720 meters per hour. Convert this to kilometers per hour by dividing 720 by 1000, since there are 1000 meters in a kilometer:

720/1000

= 0.72

So, the speed of the conveyer belt is 0.72 km per hour

Answer:

2. Side length =9

Step-by-step explanation:

A square has all sides equal. and it has 4 sides, so 36 divided by 4 =9.

3.x squared =6

answer is x=3

square root both sides.

Answer:

I know this may not help but

Step-by-step explanation:

Fillers. Inserting a “soft filler” into your face by way of an injection may correct the appearance of facial asymmetry. ...

Facial implants

Rhinoplasty

these are the top ideas I have searcehd online although it may not look good in a month if your going with Rhinoplasty

Answer:

because it has 7 cm a helper of right angle triangle and me can also use phythogorreas triplet formula

Answer:

Graph:

Solution: (1, 1)

Check:

y = -3x +4

1 = -3 +4

1 = 1

y = 3x -2

1 = 3 -2

1 = 1

Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{28}{c}[/tex]

c = [tex]\frac{28}{\text{sin}(47^{\circ})}[/tex]

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{b}{c}[/tex]

             = [tex]\frac{b}{38.3}[/tex]

b = 38.3[cos(47°)]

b = 26.1

Answer:

x=2*sqrt(2)

Step-by-step explanation:

cos(theta)=Base/Hypotenuse

cos(45)=x/4

x=2*sqrt(2)

Answer: what is the rest of the question?

Step-by-step explanation:

Answer:0.8

Step-by-step explanation:

it is basically 10 times 8 to the power of -1

Answer:

Solution: means we replace 'x' with 'x+1' and we get g (x). Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g (x). Now, let us put y = 0 and find out x. So, second point is . Now, let us plot A and B then extend the line joining AB.

Answer:

(1 , 4)

Step-by-step explanation:

f(x) = 4^x ,where x is the temperature, and y or f(x)  is the number of visitors that come to the park

f(x) = -x +5 , where x is the temperature and, y or f(x) is the number of visitors that leave early

the solution of the system of equations is the point of intersection of the 2 graphs and is (1,4)

when the temperature is 1 will have 4 visitors who will come at the park and also leave early

Answer:

m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21

m=16/6=8/3

y-y1/x-x1= m⇒ 8/3=y+64/x+21

8x+168=3y+192

    3y=8x-24

x-intercept

3(0)=8x-24

x=24/8 →x=3

x-intercept: (3,0)

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