Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 2?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.

The question for this information:

The cost of buying 3 airline tickets at a promotional discount of 20% is 330 dollars. Find the regular cost of 1 ticket.

Discounts and allowances are price reductions from a product's or service's base price.

Discount is calculated by subtracting the sell price of an article from its Marked price.

The given conditions in the question are

So from the above information we can see that if the price of a ticket is c dollars then the discounted price of 1 ticket will be (c - 0.2c).

Total price of 3 tickets =3(c - 0.2c)

but the total price is 330 dollars

Therefore:

3(c - 0.2c) =330

or, 2.4c=330

or, c=330÷2.4

or, c=137.5 dollars

Hence the regular price of each ticket is 137.50 dollars.

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The monthly payment to Craig is $ 3093.75

Given,

The payment got by Craig for his job = $ 18.75 per hour

Weekly working hours of Claig:

Week 1 = 37 hours

Week 2 = 47 hours

Week 3 = 42 hours

Week 4 = 39 hours

We have to find the total monthly payment of Craig:

That is,

Week 1 + Week 2 + Week 3 + Week 4

For getting the weekly salary, we have to multiply hourly payment with hours worked:

So,

Week 1 = 37 × 18.75 = 693.75

Week 2 = 47 × 18.75 = 881.25

Week 3 = 42 × 18.75 = 787.5

Week 4 = 39 × 18.75 = 731.25

Now calculate the total monthly payment:

That is,

693.75 + 881.25 + 787.5 + 731.25 = 3093.75

Therefore,

The monthly payment to Craig is $ 3093.75

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Answer:

x= 12

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Formula

Perimeter of rectangle= 2(width) +2(length)

Substitute the given information into the formula:

92= 2(2x +3) +2(x +7)

Expand:

92= 4x +6 +2x +14

92= 6x +20

Subtract 20 from both sides:

6x= 92 -20

6x= 72

Divide both sides by 2:

x= 72 ÷6

x= 12

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Answer: is C y=-2x-2                  

jwndnknwdkwnkw

Answer: 6 stuff animals

Step-by-step explanation: Caitlin give away 6 and Allie give away 6 x 3 = 18 and she had 12 left so that leaves both of them with 12

Hope that helped!

As shown in the next figure, AB/CD results in AC/BD.

When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines.

based on the given value;

we are aware of this;

The adjacent figure displays

AB//CD.

∠BCD=∠ABC=50

(By alternating interior angle are equal)

∠ACB=70

∠ACD=∠BCD+∠ACB

          =50+70

          =120

∠CDB=60

∠ACD+∠CDB=180

Hence; AC//BD

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Answer:

x= -1/3

Step-by-step explanation:

3/4-9/4x-1=x

-1/4-9/4x=x

-1-9x=4x

-9x=4x+1

-9x-4x=1

-13x=1

x= -1/13

hope this helps

The probability of selecting two male students is 0.47

The probability of selecting two female students is 0.08

Given,

Number of male students in a school club = 26

Number of female students in a school club = 11

Total number of students in the club = 26 + 11 = 37

Number of students selected to represent the club in the student government = 4

We have to find the probability of selecting 2 male and 2 female students:

Then,

The probability of selecting two male students = (26 / 37) × (25 / 37) = 0.47

The probability of selecting two female students = (11 / 37) × (10 / 37) = 0.08

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Answer: The answer might be 0.002

Step-by-step explanation: Looking at the number made it look like it.

and pls brainliest if I am right

The coordinates of I ( x, y) = ( 6, 11 )

What is coordinate in math?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

The coordinates of the  G = (2,7)

The coordinates of the  H = (11,16)

Point I is on GH and divides it such that GI:HI is 4:5.

the coordinates of I ( x, y)

                      [tex]x = \frac{m_{1}x_{2} + m_{2} x_{1} }{m_{1} + m_{2} }[/tex]

                      [tex]x = \frac{4 * 11 + 5 * 2}{ 4 + 5}[/tex]

                   x = 6

[tex]y = \frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1} + m_{2} }[/tex]

[tex]y = \frac{4 * 16 + 5 * 7}{9}[/tex]

y = 11

the coordinates of I ( x, y) = ( 6, 11 )

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Answer: The Rate of jogging is 4.6 miles per hour.

Step-by-step explanation: i really hope this helps (:

Answer:



Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

1 minute = 2 feet

15 minute = ? Feet

15 x 2 = 30

? = 30 feet

No , 1,402 x 71 is 71 is not less than (1,402x 71) -40 .

We have given two numbers 1,402 x 71 and (1,402x 71) -40.

As we can see that in second expression we have subtracted 40 from 1,402 x 71 .So , It is obvious that value of second expression will differ by first expression by 40 .

Hence , 1,402 x 71  is 40 more than (1,402x 71) -40  .

So , it is not possible to have 1,402 x 71 is 71 less than (1,402x 71) -40

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per-student expenditures will be about $ 9.16.

Public school per-student expenditures in 1990 is $4.60

per-student expenditures in 2013 is $10.8

in 23 years per student expenditure has increase of 10.8-4.60 = $6.2

in 1 years per student expenditure has increase of  $6.2/23.

in 34 years per student expenditure has increase of  ($6.2/23)34 =$9.16

per-student expenditures will be about $ 9.16.

the act of spending (as money, time, or power) 2 : something this is spent hold a file of your costs. expenditure.

What are examples of costs?

Expenditure – this is the whole purchase fee of a great or service. for instance, a agency buys a $10 million piece of device that it estimates to have a useful life of five years. this will be labeled as a $10 million capital expenditure.

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It travels 2404 feet before it is 1,700 feet above ground;

The given question can be represented in the form of equation;          

y = tan(45°)x + c;

Since it is launched from ground; c = 0;

thus; y = x is the equation of motion of cannonball;

According to question;  y = 1700 feet

x = 1700 feet;

The distance travelled by cannonball will be

√(x² + y² = √(1700² + 1700²)                         (∵ it is a right angled triangle;

                                                                           using Pythagoras theorem)              

               = 2404.16 feet

              ≅ 2404 feet

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Answer:

x = 200

Step-by-step explanation:

1/5x - 2/3y = 30 when y = 15

     2/3 * 15 = 10

1/5x - 10 = 30

1/5x = 40

x = 200

Answer:

x = 200

Step-by-step explanation:

=>  [tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]

=> Put the value of y into the equation

=> [tex]\frac{1}{5}x-\frac{2}{3}*15=30[/tex]

=> Simplify

=> [tex]\frac{1}{5}x-10=30[/tex]

=> Shift the 10 to the right side

=> [tex]\frac{1}{5}x=40[/tex]

=> Solve For x

=> [tex]x = 200[/tex]

- If The Answer Helped You Please Mark As Brainliest

Answer:more work pls

Step-by-step explanation:

The set which can be placed in a one to one correspondence is:

a.  {1,2,3,4,5) and {m,n,o,a,r}

b. Yes.

A rule or method that matches every element of set A with exactly one element of set B and every element of set B with exactly one element of A is known as a one-to-one correspondence.

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Answer:

86

Step-by-step explanation:

Adding integers:

74 − (−12)

We are subtracting a negative, which is like adding

74 + (12)

86

The positive integer between 1 and 100 that cannot be represented as a whole percent are 8, 15, 36 and many more.

The class has 99 students.

One student of the class is 1% of the class when rounded to the nearest whole percent. The actual percentage of one student is 1 / 99 × 100 = 100 / 99 = 1.0101010101%

99 of the students represents 100% of the students.

99 / 99 × 100 = 9900 / 99 = 100%

Therefore, the positive integer between 1 and 100 that cannot be represented as a whole percent is as follows:

36, 15, 8 and many more.

8 / 99 ×100 = 800 / 99 = 8.08080808081%

15 / 99 × 100 = 1500 / 99 = 15.1515151515 %

36 / 99 × 100 = 3600 / 99 = 36.3636363636 %

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Answer:

C

Step-by-step explanation:

Our choices would be 3,300 for 3,200.  Those would be the answer rounded to the nearest 100 up and down.  3245.31 is between those numbers.  Which number would it be closer to?  3200.

The length of the smallest, medium and the longest piece of wood are 7.625, 15.25 and 38.125 inches.

The wood is 61 inches and it is divide into 3 pieces.

The longest piece is 5 times the length of the smallest piece.

The medium piece less than 2 times the length of the smallest.

let

z = length of the smallest piece of wood

longest piece = 5z

medium piece = 2z

The equation to represent the total piece together is equal to 61 inches.

z + 5z + 2z = 61

Therefore, the length of each wood piece can be calculated as follows:

z + 5z + 2z = 61

8z = 61

z = 61 / 8

z = 7.625 inches

longest piece = 5(7.625) = 38.125 inches

medium piece = 2(7.625) = 15.25 inches

Therefore, the length of the smallest, medium and the longest piece of wood are 7.625, 15.25 and 38.125 inches.

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Answer:

52 tickets

Step-by-step explanation:

7 x 13 = 91

91 - 39 = 52

Answer:

67

Step-by-step explanation:

Answer:

there asking you what the veritable represent

The monthly instalment amounts forms an (a) Arithmetic Progression with common difference 3. (b) Phillips takes 60 months to settle the loan. (c) The sum of the loan is $7410 .

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

The n-th term of an arithmetic progression is given by:

aₙ = a + ( n - 1 ) d

Where a is the first term and d is the common difference .

(a) Amount of money repaid in the first month = $35

Amount of money repaid in the second month = $38

Amount of money repaid in the third month = $ (38+3) = $ 41

Therefore 41  -38 = 3 and 38 - 35 = 3 . So we see that each monthly instalment is increasing by 3 and the difference between each installment is 3

Therefore the numbers are in an arithmetic progression whose common difference is 3 .

(b) Given the final monthly installment is $ 212

Let us consider that after this is the installment for the n-th month.

∴ aₙ =212 , a= 35 and d=3

Putting the values in the equation of the n-th term of an AP we get:

aₙ = a + ( n - 1 ) d

or, 212 = 35 +(n-1)3

or, 212 - 35 + 3 = 3n

or, n = 60 months

Therefore Phillips takes 60 months to settle the loan.

(c) The formula for the sum of all terms of an AP is given by:

S = (n / 2 ) ( a + aₙ )

or, S = (60/2) × (35+212)

or, S = 30 × 247

or, S = 7410

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