Please graph the following questions!!

Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. Therefore, by applying the supplementary angle theorem, the measure of angle 6 is given by:

Q + R = 180°

153° + m<6 = 180°

Angle 6 = 180° - 153°

Angle 6 ≡ Angle 4 = 17°

Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:

Q + R = 180°

17° + m<3 = 180°

Angle 3 = 180° - 17°

Angle 3 = 153°

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the answer is 2, 590,000

Question:

Round 2,586,991 to the nearest ten thousand

Answer:

2,590,000

Step-by-step explanation:

If you did the 86991 just think of it as 1-10 what is that whole number closer to it would be 90000 if you rounded it to 80000 that would be incorrect because it is not closer to 8 than 9.

I hope it helps you!

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The average number of miles that he would have to ride each day to meet his goal is 20 + 4x = 45.6.

let the average number of miles be represented by x.

Total number of miles = 45.6

Therefore the expression will be:

20 + (4 × x) = 45.6

20 + 4x = 45.6

4x = 45.6 - 20

4x = 25.6

x = 25.6/4

x = 6.4 miles

He has to ride 6.4 miles per day.

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Answer:

  3 to 4

Step-by-step explanation:

Perhaps you want to reduce the ratio (5/12) to (5/9).

You have the ratio of two fractions with the same numerator. The ratio of the fractions will be the inverse of the ratio of their inverses:

  (5/12) : (5/9) = (9/5) : (12/5) . . . . . . invert fractions and swap sides

 = 9 : 12 = 3 : 4 . . . . . . . . . . . . . multiply by 5 and divide by 3

The ratio (5/12) to (5/9) is 3 to 4.

If Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.

Given that Amanda won 62 pieces of gum and division has been done in such a way that 2 pieces to each friend are given and only 8 has remaining.

We are required to find the number of friends that Amanda have.

If 8 pieces of gums are left then the number of pieces distributed will be 62-8=54 pieces of gums.

Since 2 pieces are given to 1 friend so the number of friends will be=54/2=27 friends.

Hence if Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.

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Answer:

discounting

Step-by-step explanation:

the answer is discounting

Answer: 9/20

Step-by-step explanation:

45%=

45 * 100%/100=

45 * 1/100=

45/100=

4.5/10=9/20

Answer:

$822.25

Step-by-step explanation:

you will minus all the numbers

*The values in the question and the image are different. It is solved below according to the image*

The correct answer is 812 and 2/5 feet.

Convert the mixed fraction into improper fraction.

Distance between the bottom of canyon and sea level = 59 and 9/ 10 feet= 599/10 feet

Distance between the bird's nest and sea level = 752 and 1/2 feet = (752×2 + 1) feet =1505/2 feet

So, the difference between elevation between the bottom of the canyon and the bird's nest = 599/10 + 1505/2 feet

= 59.9 + 752.5 feet = 812.4 feet

= 812 and 4/10 feet

= 812 and 2/5 feet

Hence, the difference between elevation between the bottom of the canyon and the bird's nest is 812 and 2/5 feet .

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The money in Frances' account is - $ 120 after the 3 checks and the penalty.

We are given that:

Frances has no money in her account.

Current balance of her account = $ 0

Now she wrote 3 checks of $ 35 each.

Amount written = 3 × $ 35 = $ 105

Now, the balance in her account will be = $ 0 - $ 105 = - $ 105

Also, the bank has imposed a penalty of $ 15 as she has overdrawn her account.

So, the balance now will become:

Balance = - $ 105 - $ 15 = - $ 120

Therefore, the money in Frances' account is - $ 120 after the 3 checks and the penalty.

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Answer:

-20

Step-by-step explanation:

=(9+5-(-6)) (5+(-6))

=(20) (-1)

=-20

Answer:  A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Step-by-step explanation: I hope this helps.

Joseph could use C), D), and E) to make kebabs without any leftovers:

C) 30 pieces of meat and 40 pieces of vegetables

D) 45 pieces of meat and 60 pieces of vegetables

E) 72 pieces of meat and 96 pieces of vegetables

How were the answers determined? To solve for the answer, here are some pointers:

Consider the given which states that each kebab has 3 pieces of meat and 4 pieces of vegetables, and Joseph wanted to make kebabs without any leftovers - meaning, there should be no extra piece of meat or no extra piece of vegetable.

In choosing which is the answer, make sure that the number of pieces of meat must be divisible by 3 (pieces of meat), and the number of pieces of vegetables must be divisible by 4 (pieces of vegetables). This was also based on the given.

Moreover, the quotient for meat and the quotient for vegetables must be equal to each other so that there will be no leftovers.

Therefore, the answers are C), D), and E) because these three answers satisfy the conditions above.

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The equation of a horizontal line containing the point is y = -8

The point is given as (4,-8)

Rewrite as

(x, y) = (4,-8)

The line is a horizontal line

So, we remove the x value

This gives

y = -8

Hence, the equation of a horizontal line containing the point is y = -8

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Answer:

oh hello

Step-by-step explanation:

hi i am here to help you

Answer:

Step-by-step explanation:

Number of girls to boys

11:14

Number of boys to the total number of students

14:25

Total number of students to number of girls

25:11

Number of boys to number of girls

14:11

Step-by-step explanation:

Solving steps

ZX-13 k

Move the constant to the right

zX = 13+k

Divide both sides

Solution

x=13+k/z , z≠0

Answer:

Step-by-step explanation:

Solve the equation for x .

zx-13=k

zx−k−13=0

(z)⋅x+(−k−13)=0

x=−(−k−13)/z

x=(k+13)/z

----------------------------

check

z(k+13)/z-13=k

(k+13)−13−{k}=0

k−{k}=0

0=0

the answer is good

Answer:

im pretty sure its  -20

Step-by-step explanation:

If Moussa thinks of a number whose root is a multiple of 3, then there are many possible numbers, like 9, 36, 81, etc.

The numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).

The number that Jiale thinks of is 64.

There are three separate, unrelated questions.

Firstly, Moussa thinks of a number whose root is a multiple of 3. Let us assume that the number is "y" and the concerned multiple of 3 be "3x" where (x = 1, 2, 3, 4, 5...)

Hence, as per the question statement,

[tex]\sqrt{y} =3x \\or, y = (\sqrt{y})^{2} =(3x)^{2} \\or,y=9x^{2}...(i)[/tex]

Using (x = 1, 2, 3, 4, 5...) in equation (i), we can have our possible set of answers, i.e., (9, 36, 81...)

Second, we are required to determine all the numbers between 100 and 200 that have an integer square root. We know that, [(10)² = 100]. Therefore, we will have to calculate the squares of numbers above 10 till the squared value reaches or crosses 200, i.e.,

[tex]11^{2}=121, (100 < 121 < 200)\\12^{2}=144, (100 < 144 < 200)\\13^{2}=169, (100 < 169 < 200)\\196^{2}=196, (100 < 196 < 200)\\15^{2}=225, (200 < 225)\\[/tex]

Hence, the numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).

Third, Jiale thinks of a number whose square root of cube root is 2. Let the number be "z". As per question statement,

[tex]\sqrt{\sqrt[3]{x}}=2\\ or,(x^{\frac{1}{3}})^\frac{1}{2} =2\\or,(x)^(\frac{1}{3}*\frac{1}{2})=2\\or, (x)^\frac{1}{6}=2\\or,x=(2)^6\\or,x=64[/tex]

And to show that Jiale would have got the same number (2) by calculating the the square root first and then the cube root,

[tex]\sqrt{64} =8,\\\sqrt[3]{8}=2[/tex].

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In linear equation, $1.56 is the price of a pair of sport socks.

What in mathematics is a linear equation?

To find how much it costs for one pair of socks, divide the cost with how many pairs there are.  

12.55/8 = 1.56875

Since we are determining the cost of each pair of socks, it's only justifiable if we round it to the nearest hundredths.

Therefore, a pair of socks cost around $1.56 excluding taxes.  

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Answer: 62, 63, 64, 65

Step-by-step explanation:

254/4=63.5

so, you know that

[tex]63.5+63.5+63.5+63.5=254[/tex]

[tex]62+63+64+65=254[/tex]

You can kind of tell by looking at the 63.5, because integer is a whole number so the two whole number above and below 63.5 would average out to 63.5

Hope this helps!

4/5 divided by 4/3 is equal to 3/5.

In order to divide 2 fractions, we need to first flip the second fraction upside down and then multiply it with the other fraction.

Here, we need to simplify the following expression- 4/5 ÷ 4/3

As mentioned, here also we flip the fraction 4/3 ⇒ 3/4

Now, we multiply it with 4/5,

Thus 4/5 ÷ 4/3 becomes 4/5 × 3/4

now 4/5 × 3/4 = (4 × 3) / (5 × 4)

⇒ (4 × 3) / (5 × 4) = 12/20

Now, we convert this into a simplified fraction by dividing the numerator and denominator by 4. Thus, we get-

= 3/5

Thus, the value of the expression is 3/5.

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Your question was incomplete. Check for full content below-

Perform the operation and reduce the answer fully. Make sure to

express your answer as a simplified fraction.

4/5 divided by 4/3

Answer:

True

No solution

Step-by-step explanation:

The system of equations is

x + y +2 = 15      (1)
2x + 2 = 1           (2)
2y  - 2 = 7          (3)

Subtract 2 from both sides of Eq (2)

==> 2x + 2 - 2 = 1 - 2

==> 2x = -1

==> x = - 1/2 = - 0.5

Add 2 to both sides of Eq (3)

2y - 2 + 2  = 7 + 2

2y = 9

y = 9/2 = 4.5

Plug in values for  x and y in Eq (1)

x + y + 2 = 15 becomes

- 0.5 + 4.5 + 2 = 15

==> 6 = 15   which is false

This is an inconsistent system of equations. and therefore has no solution

The final simplified expression representing the total miles driven in three days is 4x-90.

Let the miles drove on the day 1 be x

A/Q

On day 2 , we drove 10 more than twice the miles driven on day 1 =2x+10

On day 3 we drove 100 miles less than day 1 = x-100

Simplified expression representing the total miles driven in 3 days

day 1 = x miles

day 2 = (2x+10)miles

day 3 = x-100

total = x+2x+10+x-100

= 4x-90

Some "solving" difficulties are related to "simplification" challenges. Some equations, like some expressions, contain parentheticals and even nested grouping symbols. The technique of simplifying is the same whether we're working with expressions (and therefore only simplifying) or equations (and so including solving).

To simplify an expression, write an equivalent expression with no related terms. This implies we'll rephrase the expression with as few terms as feasible.

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Answer:

f(g(x)) = 9x² - 6x + 1

Step-by-step explanation:

We are told that:

• [tex]f(x) = x^2[/tex]

• [tex]g(x) = 3x -1[/tex].

In order to find [tex]f(g(x))[/tex], we have to replace [tex]x[/tex] in the definition of [tex]f(x)[/tex] with the definition of [tex]g(x)[/tex]. In other words, [tex]3x -1[/tex] has to be the input for [tex]f(x)[/tex]:

[tex]f(g(x))[/tex] = [tex]f(3x -1)[/tex]

          ⇒ [tex](3x - 1)^2[/tex]

          ⇒ [tex]9x^2 - 6x + 1[/tex]

Therefore, f(g(x)) = 9x² - 6x + 1.

If we want to have solutions for the linear equation, the value of A must be 4,

Let's define A as the number that should be in the box, now we can write the linear equation in the image as:

A*(5x + 6) = 20x + 24

We want to find the value of A, if we divide both sides by 5x + 6 we will get:

A = (20x + 24)/(5x + 6)

The numerator can be rewritten as:

20x + 24 = 4*(5x + 6), replacing that we will get:

A = 4*(5x + 6)/(5x + 6) = 4

Then we conclude that, if we want to have solutions for the linear equation, the value of A must be 4.

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