Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3? Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.

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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Using a system of equations, it is found that the maximum number of people that could be helped with one plane of supplies is: 40,000.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

For this problem, the variables are given as follows, considering the situation described:

Each food kit helped 8 people and each medicine kit helped 6 people, hence the total number of people helped is given by:

T = 8x + 6y.

This is because we consider that people were helped by only one of them, never both.

Each plane could carry no more than 80,000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds, hence:

20x + 10y = 80000

2x + y = 8000

y = 8000 - 2x.

The maximum volume is of 6000 cubic feet, hence:

x + y = 6000.

y = 6000 - x.

Equaling both equations:

8000 - 2x = 6000 - x

x = 2000.

y = 6000 - x = 4000.

Then the maximum number of people helped is:

T = 8x + 6y = 8 x 2000 + 6 x 4000 = 40,000.

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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!

Using a system of equations, it is found that you should mix 7 pounds of dried fruit and 3 pounds of nut.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The mixture has a total of 10 pounds, hence:

x + y = 10 -> y = 10 - x -> x = 10 - y.

Considering the cost per pound of each, and the total cost of 10 x 5.34 = $53.4, we have that:

4.5x + 7.3y = 53.4.

Replacing x = 10 - y, we have that:

4.5(10 - y) + 7.3y = 53.4.

2.8y = 8.4.

y = 8.4/2.8

y = 3.

x = 10 - 3 = 7.

You should mix 7 pounds of dried fruit and 3 pounds of nut.

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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:



Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Step-by-step explanation:

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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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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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:

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 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:

nose ....................

The expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.

It should be noted that an expression simply shows the relationship that exists between the variables.

In this case + means addition.

Therefore, the expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.

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Answer:

C

Step-by-step explanation:

this question is horribly phrased.

as far as I can tell after reading this multiple times, this is again looking for the GCF : the greatest common factor.

so, again, prime factor analysis :

168 :

168 ÷ 2 = 84

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 2 no

21 ÷ 3 = 7

7 ÷ 3 no

7 ÷ 5 no

7 ÷ 7 = 1 finished

168 = 2³×3×7

120 :

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 2 no

15 ÷ 3 = 5

5 ÷ 3 no

5 ÷ 5 = 1 finished

120 = 2³×3×5

the GCF is the part of the prime factors both numbers share :

2³×3 = 8×3 = 24

so, they can make 24 fruit cups with identical content and using all the fruits.

these pieces of information were missing in the text.

based on the text without the answer options I was already going for the maximum that each fruit cup has one piece of fruit, and that gives us 168 + 120 = 288 fruit cups max.

Answer:

86

Step-by-step explanation:

Adding integers:

74 − (−12)

We are subtracting a negative, which is like adding

74 + (12)

86

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

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

Answer:

52 tickets

Step-by-step explanation:

7 x 13 = 91

91 - 39 = 52

Answer:more work pls

Step-by-step explanation:

Answer:

1 in^2

Step-by-step explanation:

Answer:

117 tiles

Step-by-step explanation:

Area of rectangle = length * width

To find the number of tiles divide the area of pantry floor by the area of a tile.

Convert mixed fraction to improper fraction.

[tex]\sf 4\dfrac{1}{2}=\dfrac{9}{2}\\\\\\6\dfrac{1}{2}=\dfrac{13}{2}[/tex]

  [tex]\sf \boxed{\text{\bf Number of tiles = $\dfrac{Area \ of \ floor}{area \ of \ a \ tile}$}}[/tex]

                                 [tex]\sf = \left(\dfrac{9}{2}*\dfrac{13}{2}\right ) \ \div \left(\dfrac{1}{2}*\dfrac{1}{2}\right)\\\\\\= \left(\dfrac{117}{4}\right) \ \div \left(\dfrac{1}{4}\right)\\\\\\[/tex]

Use KCF method.

                                   [tex]\sf =\dfrac{117}{4}*\dfrac{4}{1}\\\\= 117[/tex]

Answer:

67

Step-by-step explanation:

Answer:

there asking you what the veritable represent

Answer:

hope this helps

Step-by-step explanation:

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]

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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: 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

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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