Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

Answer: Option B: 120.

Step-by-step explanation:

I will answer in English

This problem can be translated to:

A man bought N pens, (at a cost C) if he sells each pen at 2 lira, he will have a profit of 40 lira.

If he sells each pen at 1.5 lira, he will loss a total of 20 lira.

We want to find N, the number of pens that he bought.

if he sells the N pens at 2 lira each, the revenue is:

N*2 lira

And the profit is the difference between the revenue and the cost, then the profit (40 lira in this case) is:

N*2 lira - C = 40 lira.

When he sells each pen at 1.5 lira the equation is:

N*(1.5 lira) - C = -20 lira.

Then we have two equations:

N*2 lira - C = 40 lira.

N*(1.5 lira) - C = -20 lira.

To solve this we need to isolate the variable C in one of the equations, i will isolate C in the second equation:

N*(1.5 lira) + 20 lira = C.

Now we can replace this in the first equation to get:

N*(2 lira) - (N*(1.5 lira) + 20 lira) = 40 lira.

We can solve this for N.

N*(2 lira) - N*(1.5 lira) - 20 lira = 40 lira

N*(2 lira - 1.5 lira) = 60 lira

N*(0.5 lira) = 60 lira

N = (60lira/0.5lira) = 120

N = 120

This means that he bought 120 pens.

The correct option is B.

Answer:

5

Step-by-step explanation:

dont really understand why you answered your own question?

Answer:

Good luck with that

Step-by-step explanation:

We r to lazy to do it

Answer:

C

Step-by-step explanation:

Granite is mined worldwide but the most exotic colours are obtained from granite deposits in Brazil, India, China, Finland, South Africa and North America. Granite mining is a capital and labour intensive process. Chunks of granite are extracted from deposits by cutting or blasting procedures.

Answer:

About 1.1 meters.

Step-by-step explanation:

Hope this helps! :D

Step-by-step explanation:

I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree

Answer:

4

Step-by-step explanation:

its four trust me

Answer:

4

Step-by-step explanation:

:)

Answer:

The answer will be the following :

Step-by-step explanation:

Let's solve for x.

3x−2y=46x

Step 1: Add -46x to both sides.

3x−2y+−46x=46x+−46x

−43x−2y=0

Step 2: Add 2y to both sides.

−43x−2y+2y=0+2y

−43x=2y

Step 3: Divide both sides by -43.

−43x

−43

=

2y

−43

Answer:

How many rocks does Edward have? 14

Select the person with more rocks: Jamie

(Edward: 14, Jamie: 42)

Answer:

6E

Step-by-step explanation:

If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan

Hope this helps! :D

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

Answer:

I don't get the question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Distribute the -2 to the 9 to get -18 and then to the 32n giving you -64n

9514 1404 393

Answer:

  32

Step-by-step explanation:

Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.

  ∠E = 180° -118° -30° = 32°

The value of x is 32.

Answer:

Gina

Step-by-step explanation:

Bella's bedroom is 3m x 6m = 18m^2

Gina's bedroom is 5m x 5m = 25m^2

Answer:

m

Step-by-step explanation:

Answer:

The slope of y=x is 1

Step-by-step explanation:

Slope = 1

Answer:

a

Step-by-step explanation:

the answer is a because thats the answer.

Answer:

No it is the second one because:

-    7x => x represents the number of cans to be collected in 7 days

you've already collected 668 cans, and 2000 cans is the target.

2000-668= 1332÷7- 190.30

The answer for the first question is s-14=25.

The answer for the second question is 4000+p=4375

Answer:

equation for a straight horizontal line passing through the coordinates (3,4):

y=4

Step-by-step explanation:

Answer:

The answer is this:

1/3*12=4/1=4

The expression can be written as 1/3 × 12 and its value is 4.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The given fraction is 1/3.

And, the number is 12.

Now, the expression to find the 1/3 of the given number can be written using the multiplication operation as,

⇒ 1/3 × 12

Its value can be evaluated as,

⇒ 1/3 × 12 = 4

Hence, the required expression is 1/3 × 12 and its value is 4.

To know more about arithmetic operation click on,

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9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each vertex has a single-letter label.

Each edge joins two vertices, and is named by naming those two vertices.

Each polygon is named by listing the vertices at its corners. It is a plane figure.

The base is the polygon opposite the point where all of the triangles come together.

__

16. figure: pentagonal pyramid ABCDEF

17. base: ABCDE

18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)

19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF

20. vertices: A, B, C, D, E, F

Answer:

ADFGH

Step-by-step explanation:

Good luck on your test!

The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.

The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.

Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

To know more about prime factors follow

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Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees  will have heard the rumor  ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

so

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 =  7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

r3  will be;

r3 = r2 + ( 0.001)r2(1000-r2 )  

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n        rₙ

0        4

1        7.984

2       15.904255744

3       31.555566137

4       62.1153785

5       120.372437

6       226.25535

7       401.319217

8       641.58132

9       871.53605

10     983.497013

11      999.727651

12     999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

2×(4×3)?24

4×3=12

12×2=24

(2×4)×3=24

Answer:

x = 55

Step-by-step explanation:

Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.

Draw another line parallel to the top and bottom lines through the pointy end of 45.

The bottom angle of the line through 45 is 15 degrees (alternate interior angles.

The top angle is 45 - 15 = 30

The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180

One final observation The top angle of made by the line going through x is 180 - 25 = 155

What you have now is

155 + 150 + x = 360

305 + x = 360

x = 360 - 305

x = 55

Answer:

not a function

Step-by-step explanation:

Answer:

slope is -2

Step-by-step explanation: