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.

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Related Questions

Solve it ( i'll select u as brainlist )

Answers

Answer:

x=5/6 y=8/5

Step-by-step explanation:

times the second one w 2

equals to -12x+10y=-6

then add this to the above one together,you can eliminate the x, then solve an equation w only y.

after you get y, get it into whatever the above one or below one,you will get the x as well

Answer:

x = 5/6

y = 1 and 3/5

Step-by-step explanation:

12x + 15y = 34

-6x + 5y = 3

12x + 15y = 34

3(-6x + 5y = 3)

12x + 15y = 34

-18x + 15y = 9

30x = 25

30x/30 = 25/30

x = 5/6

-6x + 5y = 3

-6(5/6) + 5y = 3

-5 + 5y = 3

+5          +5

5y = 8

5y/5 = 8/5

y = 1 3/5

Which answer choice correctly identify the missing information in the problem?

is 23 years old and just graduated from college. He accepted a job as the manager of a amusement park. His major decision was to offer family memberships to the public for $200 a year. The single admission to the amusement park is $25 per family each visit. How many shows can a family see if they have a limited budget?

A) there is no missing information; to find the answer you divided 200 by 25

B) you need to know how many people are in the family

C) you need to know how many times the family will go to the amusement park

D) you need to know the amount of the family budget to solve the problem

Answers

Answer:The  missing information to answer the question: "How many shows can a family see if they have a limited budget?" is the amount of the family budget.

Let's suppose that we know that information and one family has $100. If each visit costs $25 dollars, the family can see:

100/25 =4 shows

So if we do not have this info, we are not going to be able to solve the problem. The correct answer is the letter D!

Step-by-step explanation:

h=19+3.5w. What could the number 3.5 represent in the equation?

Answers

This number could represent the height of 19 and then you add 3.5 of something :)

Answer:

the slope of the equation

Step-by-step explanation:

Simplify the expression : 8-(x-4)-2x+3(5-x) ?

Answers

Answer:

-6x+27

Step-by-step explanation:

thanks + brainliest = explanation

if needed, of course :)

8- x+4-2x+3(5-x)
8-x+4-2x+3(-x+5)
8-x+4-2x-3x+15
27-x-2x-3x
27-6x
-6x+27
Answer correct: -6x+27!!!!

Solve pls brainliest

Answers

Answer:

$180

Step-by-step explanation:

simple interest means that interest is paid every year on the original $200

To find 3% of 200, you multiply 200(.03) = $80.

$200(3)=$60

Since the interest is the same, 3(60) = $180

Hope this helps

I need to know which matches which thank you

Answers

Answer:

number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12

Step-by-step explanation:

find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.

Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22

Answers

I think its c i am not 100/ sure

Answer:

B

Step-by-step explanation:

Equal ratios can be found by multiplying/ dividing the parts by the same value.

A

1 : 6 ( multiply both parts by 3 )

= 3 : 18 ← equal ratios

B

2 : 14 ( multiply both sides by 3 )

= 6 : 42 ≠ 3 : 42 ← ratios not equal

C

12 : 6 ( divide both parts by 6 )

= 2 : 1 ← equal ratios

D

3 : 11 ( multiply both parts by 2 )

= 6 : 22 ← equal ratios

what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3

Answers

321
.
Substitute: 3 · (53–6.5)+4. 32
Calculate the power: 3x(125–6x5)+4x9
Calculate the product or quotient: 3x(125
-30)+4x9
Calculate the product or quotient: 3x(125
-30)+36
Calculate the sum or difference: 3x95+36
Calculate the product or quotient: 285+36
Calculate the sum or difference: 321

Answer: 321

Answer:

321

Good Luck!!

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true?

It is 3 throughout the line.
It is fraction 1 over 3 throughout the line.
The slope from point O to point A is fraction 1 over 3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.

Answers

Answer:

Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.

Step-by-step explanation:

Answer:

It is the on below because I did an FLVS test and got it right

Step-by-step explanation:

It is fraction 1 over 3 throughout the line.

A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section

Answers

Answer:

???????????????????????????????

Step-by-step explanation:

In general, as sample size increases: a.the standard error will remain the same regardless of changes in sample size. b.the standard error fluctuates in size. c.the standard error increases in size. d.the standard error is a constant. e.the standard error decreases in size.

Answers

Answer:

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

Can someone help? This is so hard.

Answers

y equals 50° since there is a 90° and a 30°

Answer:

cos^-1 (9/15)

Step-by-step explanation:

2 different ways to construct congruent angles

Answers

Answer

1.make them same length

2. do not forget to include lines

Step-by-step explanation:

among 240 students it was fount three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket the number of students whole prefer to play hockey and cricket respectively are.

a) 180 and 30 b) 40 and 180
c) 180 and 40. d) none of these​

Answers

The answer is d) none

1,8,27,64

find the rule and show how did you find it​

Answers

Answer:

Its a cubic number formula

Step-by-step explanation:

1, 8, 27, 64, 125, 216, 343

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match the systems of equations to their solutions.

2x + y = 12

x = 9 - 2y

x + 2y = 9

2x + 4y = 20

x + 3y = 16

2x - y = 11

y = 11 - 2x

4x - 3y = -13

y = 10 + x

-3x + 3y = 30

2x + y = 11

x - 2y = -7

x = 2, y = 7

x = 5, y= 2

x= 3, y=5

x = 7, y=3

Answers

Answer:

the answer is 87 keep trying also the answer 45 aha tricked you

Step-by-step explanation:

um not sure of the answer but loo-kit u p on o just keep trying quay

Answer:

Hey I got you!

Step-by-step explanation:

These are the correct answers I use another easier platform you could say

If x = 5y - 1 and 3x + 5y = -43, what is the value of y?

Answers

Answer:

y is the value of 1

Step-by-step explanation:

no need for one

Answer:

y = - 2

Step-by-step explanation:

Substitute x = 5y - 1 into the other equation

3(5y - 1) + 5y = - 43 ← distribute parenthesis and simplify left side

15y - 3 + 5y = - 43

20y - 3 = - 43 ( add 3 to both sides )

20y = - 40 ( divide both sides by 20 )

y = - 2


3. Each beam of sunlight (a, b, or c above) delivers 1300 joules of energy per second (i.e. 1300 watts) overains
of the upper atmosphere, perpendicular to the direction of the beam (ie. the beam hits a flat surface. Sveta
sunlight spreads out when it hits the Earth, use your answers from 2 above to calculate the amount of enerosta
(c)
actually delivered per 100 m of surface in each of sunlight beams a, b, and c.

Answers

Answer:

i believe the answer is 13 ?

Step-by-step explanation:

1300 divided by 100 is 13 im not sure if this is right tho sry if im wrong.

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

Answers

Answer:

5.39

Step-by-step explanation:

To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:

5² + 2² = x²

Which, simplified, is:

25 + 4 = x²

And to get x, you do:

x=√(29)

So, if you want it to the nearest hundredth, it is 5.39.

square root of 29.00

Step-by-step explanation:

5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

Simple interest is the agreed upon amount that was first deposited. Even if the depositor leaves his interest in the account, the amount paid is on the account is on the 5000 dollars, not the 5100 it will be at the end of the second year.

i = p * r * t

p = 5000 dollars

r = 2% each year

i = 2/ 100 = 0.02

i = 5000 * 2/100 * 2

i = 200 dollars after 2 years.

Identify the like terms of 3x, choose all that apply:

Answers

Answer:

-2x, x, 5x

Step-by-step explanation:

Answer:

5x-2xx

Step-by-step explanation:

Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.

3xy

It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".

3

This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.

7y

Seven has a y, which is different from an x.

Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.

Answers

Answer:

18.75

Step-by-step explanation:

80 = 100%

1% = 100%/100 = 80/100 = 0.8

the grades changed by 95 - 80 = 15.

how many % is that ?

we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :

15 / 0.8 = 18.75

so, the grades changed by 18.75%.

what is the verbal expression for 6f^2+5f

Answers

Answer:

f = 5/6 = 0.833  or f = 0

Step-by-step explanation:

0.69 x 10 to the 3rd power

Answers

Answer:

690

Step-by-step explanation:

0.69 x 10^3=

0.69 x 1000=

690

Answer:

Step-by-step explanation:

0.69*1000= 690

Describe the location of the point having the following coordinates.


nonzero abscissa, negative ordinate



O Quadrant l or Quadrant IV

O Quadrant III or Quadrant IV

O Quadrant II or Quadrant IV

O Quadrant lor Quadrant II​

Answers

Answer:

Quadrant III or Quadrant IV

Step-by-step explanation:

i Hope it's helpful for you

Quadrant Ill or Quadrant IV

find the slope and y intercept

(0,1) and (2,-3)

whats the slope M=

whats the y intercept b=

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-3 - 1 / 2 - 0

-4 / 2

= -2

y = -2x + b

-3 = -2(2) + b

-3 = -4 + b

1 = b

y = -2x + 1

This net folds into the cube shown beside it. Which letters will be on the front and top?

Answers

Answer:

f

and

c

the top is f and front is c

Step-by-step explanation:

f and c

E and C

Step-by-step explanation:

E on the front

C on the top

I hope it helps

what is f (x) = (3x^4 +1) ^2

Answers

Answer:

Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2

Step-by-step explanation:

If you are to
evaluate your life now using polynomial functions , how will you
look at it?

Answers

I am not sure what the question is… but thanks for the points.

Solve for x

1−6x = −17

Answers

Answer:

x = 3

Step-by-step explanation:

1 - 6x = - 17 ( subtract 1 from both sides )

- 6x = - 18 ( divide both sides by - 6 )

x = 3

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