2. Theorem 2-10 states that through a point not on a line, there

is one and only one line parallel to the given line. How does this

justify the construction of the line through C that is parallel to

the line AB?

Answers

Answer 1

When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.

When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.

The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.

Visit: https://brainly.com/question/17967521


Related Questions

[plz help 20 points
i really need help.

Answers

Answer:

its A

Step-by-step explanation:

find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

Chords equidistant from the centre , which is the case here are congruent, so

x = 11

the atomic number of arsenic is 33. what is the electron configuration of an arsenic atom

Answers

1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3

The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls

Answers

ANSWER:

There are 600 boys and 800 girls.

SOLUTION:

We are given the following facts:

The total number of students is 1,400.The ratio of boys to girls is 3:4.

We express this as a partitive proportion.

» Solve for x.

[tex] \sf 3x + 4x = 1400 [/tex][tex] \sf 7x = 1400 [/tex][tex] \sf x = \frac{1400}{7} [/tex][tex] \sf x = 200 [/tex]

Now we to solve for the number of boys and the number of girls.

» Number of boys:

= [tex] \sf 3x [/tex] = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]

» Number of girls:

= [tex] \sf 4x [/tex] = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]

Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.

HOPE IT HELPS!

hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :(​

Answers

Assuming it is referring to the blue graph (not the points), it costs more to rent adults skates.

After the first hour, it would cost 3 dollars to rent children’s skates. After the second, it would cost 6. This would make the slope 3, so the formula would be C=3h. It costs $3 per hour to rent children’s skates.

If the question is referring to the grey points, it would cost more to rent children’s skates for the first hour. After the first hour, it would cost more to rent adults skates.

The starting value (the y-intercept/the point at zero on the y axis, which is the vertical center line) is 6, and the slope is still 3 for the children’s skates.

For the first hour, it would cost $9 for children’s skates and $8 for adults skates. For two hours, it would cost $12 for the children’s skates and $16 for adults skates.

(It’s more likely that the question is referring to the blue graph)

hope this helps! if you have any questions, feel free to comment them under this answer :)

Which pair of functions are inverse function?​

Answers

Answer:

inverse functions is when the x and y coordinates are interchanged

Step-by-step explanation:

(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line

EXAMINE THE PARAGRAPH PROOF. WHCIH THEOREM DOES IT OFFER PROOF FOR?

Answers

Answer:

The answer is C.

Step-by-step explanation:

The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.

Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2

P (A or B)=

Answers

Answer:

0.75 = P(A or B)

Step-by-step explanation:

Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B):  0.55 + 0.2 = 0.75 = P(A or B)

I need help with these questions

Answers

Answer:

segment addition postulate

the second answer is true

Step-by-step explanation:

my teacher taught me this recently

Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.

Answers

Answer:

let x stand for number of weeks

135+15x>=480

x>=23

Step-by-step explanation:

subtract 135 on both sides

15x>=345

divide by 15 on both sides

x>=23 is your solution

Answer:10

Step-by-step explanation:

10

5/15 = n/9 someone help me (proportions)

Answers

Answer:

n = 3

Step-by-step explanation:

[tex]\frac{5}{15} = \frac{n}{9}[/tex]

Cross multiply

15n = 45

Divide

15n/15 = 45/15

n = 3

Examine the linear relationships.

Linear equation A: y=45x
Linear equation B is represented by this graph.


A line that passes through points (0, 2) and (5, 4).

© 2017 StrongMind. Created using GeoGebra.


Which statement is entirely correct?

Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than

Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than

Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than

Equation B has a steeper slope, because 52 is greater than 45.

Answers

Using linear functions, it is found that the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

a is the slope, which is the rate of change.The higher the slope, the steeper the function is:

Linear equation A is given by:

[tex]y = \frac{4}{5}x[/tex]

Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:

[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]

Equation A has a higher slope, hence, it is steeper, and the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A similar problem is given at https://brainly.com/question/20386726

Find the value of x and y

Answers

Answer:

x=4

y=5

Step-by-step explanation:

because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63

also, equally you can get the below one

6x+7y = (180°-121°)

6x+7y = 59.

put them together

17x-y=63 (1)

6x+7y =59 (2)

you can transform the (1) to y= -(63-17x)

then you get the second one

6x+7(-(63-17x))=59

then you get x

finally you get the result of x into any of the equation

you get y ultimately.

Does someone have this answer???? Thank you so much

Answers

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t

If $150 is shared among 25 people, how much does each person receive?

Answers

150 divided by 25 is 6

Each person receives $6

2/5+3/10/−7/9pls hlp

Answers

Solution:

[tex] \frac{2}{5} + \frac{3}{10} - \frac{7}{9} \\ = \frac{2 \times 18 + 3 \times 9 - 7 \times 10}{90} \\ = \frac{36 + 27 - 70}{90} \\ = \frac{ - 7}{90} [/tex]

Answer:

[tex] \frac{ - 7}{90} [/tex]

Answer:

5

52

52

52 +

52 + 10

52 + 103

52 + 103

52 + 103 −

52 + 103 − 9

52 + 103 − 97

52 + 103 − 97

52 + 103 − 97

52 + 103 − 97 =

52 + 103 − 97 = 90

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10 =

52 + 103 − 97 = 902×18+3×9−7×10 = 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 =

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90}

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7

can someone please help me

Answers

Answer:

135=9r

Step-by-step explanation:

"product" means multiplication.

9r = 135

Not much needed to be explained

Solve pls brainliest

Answers

Answer:

a is 0.085 b is 19.6%

Step-by-step explanation:

1% = 0.01 so 8.5 = 0.085

0.20 = 20% so 0.196 = 19.6%

Help, I'll give Brainliest to the correct answer!!

Answers

+400, +50, 50 - 400, 50 + (-400) = -350

+400, -120, -120 - 400, -120 + (-400) = -520

+400, -75 3/4, -75 3/4 - 400, -75 3/4 + (-400) = -475 3.4

-200, +610, 610 - (-200), 610 + 200 = 810

-200, -50, -50 - (-200), -50 + 200 = 150

-200, -500, -500 - (-200), -500 + 200 = -300

-200, 0, 0 + 200, 0 - (-200) = 200

-200, 120 1/2, 120 1/2 - (-200), 120 1/2 + 200 = 320 1/2

I think this might be the answer.

y + 2x = 2 and y + 4x = 0?

Answers

Answer:

y=4

Step-by-step explanation:

   y+2x=2

2(y+2x)=2(2)

 2y+4x=4

(2y+4x)-(y+4x)=4-0

                    y=4

Help please I’m going to be in big trouble

Answers

The answer is b I believe if not I’m so sorry

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

9.09

Step-by-step explanation:

Pythagorean Theorem: a² + b²  =  c²

When looking at the triangle we see that we have the hypotenuse and the opposite side.

a = opposite

b = adjacent

c = hypotenuse (always)

So if we plug those numbers into the equation we can get the missing side length

1) a² + b²  =  c²

2) 9.7² + b² = 13.3²

3) b² = 13.3² - 9.7²

4) b² = 176.89 - 94.09

5) b = [tex]\sqrt{176.89 - 94.09}[/tex]

6) b = 9.093954036

Now we round to nearest hundredth

To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,

b = 9.09


Express as a power of 2
(2/root8)^3

Answers

[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]

Please help! I will give points <3

Answers

-261 you are welcome

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

What is an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6

Answers

Answer:

Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6

So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.

This turns out to be a line that passes through the origin having slope 6/1

Step-by-step explanation:

Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof

Answers

You need to measure the parallel lines on and add them

The inequality −3 < x is equivalent to the inequality x > −3.

Answers

The correct answer is 2086.56

2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I

Answers

Answer:

Step-by-step explanation:

A) 1.00q+1,500

E=1.00q+1,500

The costs are $1.00 per cup and $1,500.

Let E represents the total cost.

Let q be the demand (number of cups).

Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500

(04.01 MC) Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 Group of answer choices (15, 10), (0, 2), and (−10, 10) (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) (x, y) for all real numbers (x, negative four fifths times x plus two) for all real numbers

Answers

The solutions of a function are the true values of the function

The solutions are: (0,2), (5,-2), (-10, 10) and (-5,6)

The function is given as:

[tex]\mathbf{y = -\frac 45 x + 2}[/tex]

From the question, we understand that the line of the equation passes through points (0,2) and (5,-2)

This means that:

(0,2) and (5,-2) are solutions of the equation

Other possible solutions include (-10, 10) and (-5,6)

This is true because, when these values are substituted in the equation, the result of the equation is true

Hence, the true options are:

(0,2), (5,-2), (-10, 10) and (-5,6)

Read more about solutions of equations at:

https://brainly.com/question/545403

Help please and super quick

Answers

Answer:

it's super easy

7¹⁵/7¹⁴

7¹⁵-¹⁴

7¹ or 7

Step-by-step explanation:

I know it helped you :)

Other Questions
HELP ASAP Find the slope from the following points.(-2, 12) (4, -6) please help me with this!!we have to say how acidic each ingredient is. which model would represent asexual reproduction? explain you reasoning what were 3 things the new system of government must be able to do Help only geniuses basically I just need to put in what is Veterans day, Facts about Veterans Day, Interesting Examples about it, And Personal Connection of it give that you need to take a medicine that the doctor has prescribed for you. Explain why scientists who developed that medicine would need to know whether or not the compound in that medicine is polar. How might a polar medicine behave differently as it dissolved in the body than a nonpolar medicine would If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent. How long would it take to earn Php 8,000 on a principal of Php 20,000 at 5% simple interest rate? Identify the like terms of 3x, choose all that apply: Find the measure of angle b.5139129141 What is the difference between the health care industry and public health? Amir posts a video trailer This question has two parts. First, answer part A. Then, answer part B. Part A: Which statement best summarizes the theme of the text? O A. You do not always recognize what is most valuable. O B. Keep your friends close, but your enemies closer. W O C. Fine possessions do not make a fine person. h 0 D. The best things come in small packages. Part B: Which evidence from the text best supports your answer in part A? O A. "The other animals of the forest bowed to him, and they often spoke of his antlers with admiration." B. "The Stag was so engrossed that he did not notice that a Lion had crept up alongside him." C. ". . . but the branches of some of the trees hung low, and vines curled around them." D. "The long legs that I hated would have saved me, but the antlers that I loved have led to my destruction!" Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and n. packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy? Can someone please help me. I will give brainliest The weight of a cart with a mass of 150 kg is ___ N. (Use 9.8m/s2 for the acceleration due to gravity.) An international leader does not believe his country and a smaller neighboring country are equal. To which foreign policy approach does this leader subscribe?A. liberalismB. idealismC. realismD. isolationism Which side is hypertonic ? A or B ? Which side will gain water What is c ? When Dean, Nate, and Nancy first started thinking about launching a cheese shop in Fort Collins, we took a good period of time to think through the goals that we wanted to accomplish with this small business. We also set in place touchstones (click that if you're not familiar w/ this analogy) by which we would consider major decisions regarding our business model. In short we took time to try and envision, and subsequently plan, what we wanted our business to look like in 5 years. According to class this week, what activity were we engaged in The fertilization of an oocyte by more than one spermatozoon which results in embryo death is known as