Horizontal and parallel lines e and f are cut by transversals c and d. All angles are described clockwise, from uppercase left. The intersection of lines d and c form angles: 1, 2, 4, 3. The intersection of lines f and c form angles 5, 6, 8, 7. The intersection of lines e and d form angles 9, 10, 12, 11. The intersection of lines f and d form angles 13, 14, 16, 15.
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°

Answer: median and interquartile range

Step-by-step explanation:

Answer:

Hello:

Step-by-step explanation:

It means 'choose'. I would advise you to search up 'combinatorics' on YT and learn from there because I don't think i can explain it as well as them on them.  

Answer:

A≈165553.09

Step-by-step explanation:

To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.

The formula for calculating the amount of money in an account with continuous compounding is:

[tex]A = Pe^{(rt)}[/tex]

where:

A = the amount of money in the account after t years

P = the principal amount invested

r = the annual interest rate (as a decimal)

t = the time in years

e = Euler's number (approximately 2.71828)

Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:

[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]

A ≈ $174,529.50

Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.

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Answer:

c

Step-by-step explanation:

Answer:

The answer is 65 - x = 48

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-3 replaces f which is x so its 3 time -3 which is -9 -5

Answer:

-14

Step-by-step explanation:

f(-3)= 3(-3) - 5

3 x -3 = -9

-9 - 5 = -14

-14 is your answer ;)

Answer:

10

Step-by-step explanation:

Let the number of blue balls be x.

Number of red balls = 5

Total number of balls = x + 5

P (getting a red ball)  = 5/x+5

P (getting a blue ball)  = x/x+5

Given that

2(5/x+5) = x/x+5

10(x+5) = x^(2) +5x

x^(2)-5x-50=0

x(x-10)(x+5)

Now either x-10 = 0 or x+5= 0

But number of balls cannot be negative.

Hence, the number of blue balls is 10.

Answer:

The answer would be y = 120.

Step-by-step explanation:

If x is always 1/4 of y, then if x equals 30, y would be 4 times the amount of x. I hope this helps you! :)

Answer:

The caterer charged $50 for an adult's meal and $13 for a child's meal

Step-by-step explanation:

Let the cost of an adult meal be $x

and the cost of a child meal be $y

From the question,

Manny plans to have 66 adults and 27 children and the total cost of his meals is $3,651.

We can write that

66x + 27y = 3651 ...... (1)

Also, from the question,

Zack has 77 adults and 43 children and the total cost he will pay the caterer is $4,409.

We can also write that

77x + 43y = 4409 ...... (2)

Multiply equation (1) by 7, so that we get

462x + 189y = 25557 ...... (3)

Multiply equation (2) by 6, so that

462x + 258y = 26454 ...... (4)

Now, subtract equation (3) from equation (4), so that

69y = 897

∴ y = 897/69

y = 13

Put the value of y into equation (1) to get x

66x + 27y = 3651

∴ 66x + 27(13) = 3651

66x + 351 = 3651

66x = 3651 - 351

66x = 3300

x = 3300/66

x = 50

Therefore,

The cost of an adult's meal is $50

and the cost of a child's meal is $13

Hence, the caterer charged $50 for an adult's meal and $13 for a child's meal.

Answer:

Because, the situation is going up, the integer is +12 or 12.

Most thermal conductors are made up of metal material.

We have to determine, most thermal conductors are made of which material?

According to the question,

It is one of the three concepts by which heat and energy can be transferred from one place to the other within a material or from one material to another.

Conduction occurs by direct contact whereas Convection occurs by movement or flow of heat.

Radiation on the other hand occurs with the help of electromagnetic waves.

Conduction mostly occurs in metals and the conductivity of metal is different from one another.

When it comes to the best metal for thermal conductivity, ideally it is Silver but Copper is used instead.

The reason for it is that Silver is too expensive and is infeasible to use. Copper, on the other hand, is available in abundance, is affordable, and can be used in any application.

Hence, Most thermal conductors are made up of metal material.

For more details refer to the link given below.

https://brainly.com/question/1033537

Answer:

300 grams of carbohydrates are recommended per day

Step-by-step explanation:

First, convert 12% daily value into decimal: 12/100=0.12

Since this is a word problem and we have 36 grams and 12% daily value, we should make an equation first.

We are looking for how many grams of carbs should be taken a day, so lets use x as the unknown. We need to find x!

0.12 x= 36 g

Now: divide 36 grams by 0.12

x= 36g/0.12= 300g

x= 300 grams of carbohydrates are recommended per day.

Answer:

n= -10

Step-by-step explanation:

-66=7n+4

-7n=4+66

-7n=70

n=70/-7

n= -10

Answer:

n = -10

Step-by-step explanation:

-66 = -9n + 16n + 4

1. I started by subtracting 4 on both sides of the equation this gives you -70 = -9n + 16n

2. I then combined the like terms 16n and -9n on the right side of the equation. We do this by subtracting 9n from 16n. Which gives you -70 = 7n

3. We then divide both sides by 7 in order to get -10 = n

This gives you your final answer of n = -10

Answer:

175

Step-by-step explanation:

Answer:

y = 1/6x - 8/3

Step-by-step explanation:

The equation of a line in slope-intercept form is.

y = mx + b

where m represents the slope and b, the y-intercept.

Rearrange y + 2 = 1/6 (x - 4)  into this form

distribute bracket and simplify.

y + 2 = 1/6x - 2/3

⇒ y = 1/6x - 2/3 - 2

⇒ y = 1/6x - 8/3 ← in slope-intercept form

Answer:

(64-8) +4

Step-by-step explanation:

hope this helps :))

Answer:

first one

Step-by-step explanation:

a number cant be repeated on the Y axis

Answer:

Table D

Step-by-step explanation:

Answer: convey- make an idea understandable; theme- subject or topic; poem- writing in speech and song, with stanzas; stanza- group of lines, verse

Step-by-step explanation:

Answer: C

Step-by-step explanation:

I used a graphing calculator to find the answer to your problem.

Answer:

https://brainly.com/question/18832765

Step-by-step explanation:

Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

[tex]2x + 2y \le 500[/tex]

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

[tex]2(10 + 2y) + 2y \le 500[/tex]

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

[tex]20 + 4y + 2y \le 500[/tex]

Simplifying:

[tex]20 + 6y \le 500[/tex]

Subtracting 20:

[tex]6y \le 500 - 20[/tex]

[tex]6y \le 480[/tex]

Solving:

[tex]y \le 480 / 6[/tex]

[tex]y \le 80[/tex]

The shortest side of the fence can have a maximum length of 80 feet

Answer: $9.80

Step-by-step explanation:22.05/9=2.45x4= 9.80

Answer:

$4.30

Step-by-step explanation:

Two panes of glass cost $4.30.

Explanation

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost

$

15.05

, so one pane of glass costs

15.05

÷7∩

$2.15 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass

Answer:

Two panes of glass cost $4.30.

Answer:

The graph illustrates the process of changing ice at –50°C to steam at 150°C.

Answer:

3 + x

Step-by-step explanation:

Sum means to add, so you would just add 3 and x (since they haven't given an actual number and only a variable).

The sum of the number 3 and the variable x will be (x + 3).

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

In the linear expression, the degree of the variable is one.

The sum of 3 and a number x.

Then the expression will be

⇒ 3 + x

The number 3 is a constant number and the term x is a variable.

The expression (x + 3) is a linear expression because the degree of the expression is one.

The number of the variable is one, then the expression is linear expression of one variable.

Thus, the sum of the number 3 and the variable x will be (x + 3).

More about the Algebra link is given below.

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Answer:

70

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

21q-30

Step-by-step explanation:

If u use the distributive property, 3*7 is 21, therefore it would be 21q, and 3*10 is 30, so, the final answer would be 21q-30.

Answer: 13 minutes

Step-by-step explanation: common sence every minute the heart beats 25 times so 25 times 3 equals 75 so if that s true then 25 times 13 equals 325 ;)

Answer:

Step-by-step explanation:

It is 12.99 - 13 min. because 325 divided by 75

equals 4.33 and so on. If you times 4.33 by 3

you get 12.99, if your teacher said to round it

then do 13 Min. Hope this helps! <3