If two lines are parallel to the same line, then they are parallel to each other. Is there a specific name for this theorem when being used in proofs?

Answers

Answer 1

Answer:

For a line:

y = a*x + b

where a is the slope, and b is the y-intercept.

Any other line with the same slope but different y-intercept will be parallel to this line.

Then if we have two lines like:

y1 = a*x + c

and

y2 = a*x + k

Both of them are parallel to our first line, and as you can see, both of them have the same slope and different y-intercept, then these lines are also parallel.

Now, the statement says that:

"If two lines are parallel to the same line..."

Then we can have the lines:

y1 = a*x + k

y2 = a*x + k

Both of them are parallel to our first line (same slope)

Buth these lines are the same line, then these lines are not parallel to each other (a line is not parallel to itself, because it intersects itself in infinity points), then the actual statement should be:

"If two different lines are parallel to the same line, then they are parallel to each other".

Now, this theorem does not have a particular name, just call it as the above statement.


Related Questions

find the slope of the line PLEASEEE

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

m=[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

x&y[tex]^{1}[/tex]=(0,0)

x&y[tex]^{2}[/tex]=(2,1)

m=[tex]\frac{1-0}{2-0}[/tex]

m=1/2

a train travels 20 miles in 5 minutes. how far can it travel in 9 minutes

Answers

Answer:

36 miles

Step-by-step explanation:

20 divided by 5 = 4

4 times 9 = 36 miles

Answer:

36 miles

Step-by-step explanation:

OK   20 miles in 5 minutes

we need to find miles per minute

20/5=4

the train goes 4 miles in 1 minute

now multiply

4*9=36

36 miles

Hope This Helps

White people are literally the most racist people on earth! They are 63% more racist then any other race.

Answers

Answer:

yep

Step-by-step explanation:

Answer:

what you just said is racist in itself, it is also wrong. If you put 1 million white people in a room with 1 million black people statistics prove there will be more racist people of color. The reason why there are more white racist people world wide is because there are more white people than any other race alive to this day, so if you want to be smart about it you would know how to make it even. It's also 30% as well compared to 39% of racist black people.

Step-by-step explanation:

Can somebody please help me with this math question

Answers

Answer:

80 is what I got

Step-by-step explanation:

I am a six digit number. One of my sevens is worth 700,000. The other seven is worth 1/10 as much. My eight is worth eight 100s. My nine is worth 90. My other digits are zero. What number am I?

Answers

Answer:

The six digit number is 7,70,890  

Step-by-step explanation:

Six digit number

One of my seven is                      =  700,000

Other seven is 1/10 of  700,000 =     70,000

Eight is worth 8 100s                   =           800

Nine is worth 90                          =              90  

Other digits are zeros                  =                 0

Upon adding all these we get     =   7,70,890

The six digit number is 7,70,890  

Divide (x^4 - y^4) by (x-y)
Show your calculation .
You can use factorisation.

Answers

Answer:

4

Step-by-step explanation:

x4−y4/x−y

=

x4−y4/x−y

Answer:

[tex]\boxed{x^3 + xy^2 + yx^2 + y^3}[/tex]

Step-by-step explanation:

[tex]\frac{x^4 - y^4}{x - y}[/tex]

[tex]= \frac{(x^2)^2 - (y^2)^2}{x - y}[/tex]

[tex]= \frac{(x^2 - y^2)(x^2 + y^2)}{x - y}[/tex]

[tex]= \frac{(x - y)(x + y)(x^2+y^2)}{x - y}[/tex]

[tex]= (x + y)(x^2 + y^2)[/tex]

[tex]= x^3 + xy^2 + yx^2 + y^3[/tex]

i need this now

how do you find areas of shapes

Answers

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

yw lol

A recipe has a ratio of 2 cups of dark soy sauce to 3 cups of light soy sauce. How many cups of dark soy sauce are there for each cup of light soy sauce?

Answers

Answer:3? Is the answer????

Answer:

2/3 cup

Step-by-step explanation:

1. What is matter
2. Write the states of matter with three examples.​

Answers

Answer:

1.Matter is the "stuff" that makes up the universe — everything that takes up space and has mass is matter. All matter is made up of atoms, which are in turn made up of protons, neutrons and electrons

2.Matter can exist in one of three main states: solid, liquid, or gas.

Solid matter is composed of tightly packed particles. A solid will retain its shape; the particles are not free to move around.

Liquid matter is made of more loosely packed particles. It will take the shape of its container. Particles can move about within a liquid, but they are packed densely enough that volume is maintained.

Step-by-step explanation:

Answer:

Matter is defined as anything that has mass and takes up space. The types of matter are solids, liquids, gases, and plasma. An example of solids are the desks in school,your bones, or your house. An example of liquids is the ocean, lemonade, or blood. Gases can be hydrogen, carbon dioxide, or oxygen. Plasma can be stars.

Step-by-step explanation:

HELPPP!!! And explain please.

Answers

Answer:

After correcting error of Mia and solving the expression[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex] we get 14.25

Step-by-step explanation:

The given expression is:[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex]

First I solve the expression, and then will point the error

[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)\\Converting \ \div \ sign \ into \ \times the \ term \ is \ inverted\\=0.38 \times 3 \times(-20)\times5\times(-1/8)\\=0.38\times 3 \times-20\times5\times-1/8\\=1.14 \times-20\times5\times-1/8\\=-22.8\times5\times-1/8\\=-114\times-1/8\\=\frac{-114}{-8}\\=14.25[/tex]

So, the mistake Mia did was when she inverted division sign into multiplication, she didn't invert the term next to division sign.

The step she did was: [tex]0.38 \times 5 \times(1/20)\times3\times(-8)[/tex]

While the correct step was: [tex]0.38 \times 3 \times(-20)\times5\times(-1/8)[/tex]

After correcting error of Mia and solving the expression[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex] we get 14.25

Tammy brought 17 packs of cola to a party, and each pack had 8 cans. Lucy brought 6 cans of juice. How many cans did they bring in all?

Answers

Answer: 144

Explanation: 17 x 8 = 136; 136 + 8 =144

With 17 packs and 8 cans in each, you would multiply 17x8 which is 136 then you add Lucy’s cans so 136+6 the answer is 142

3+7=7+3 is an example of which property


1. Inverse
2. Associative
3. Distributive
4. Commutative

Answers

Commutative because your switching the order

Use the graph of function g to answer the following question.

What is the value of g(1)?

Answers

Answer:

g isnt on it i don;t think

Step-by-step explanation:

The value of g(1) according to the given graph is 2 and this can be determined by using the concept of greatest integer function.

Given :

Greatest integer function graph.

Greatest integer function is also known as the floor function. The greatest integer function or floor function can be written as [x].

According to the given graph, the table below shows the value of x and at that value of 'x' it shows the value of the greatest integer function g(x).

             x                            g(x)

             1                               2

             2                              4

             3                              4

             4                              4

              5                             4

              6                             4

               7                             4

               8                             4      

               9                             4

               10                            8 and so on.

The value of g(1) according to the given graph is 2 and this can be determined by using the concept of greatest integer function.

For more information, refer to the link given below:

https://brainly.com/question/12465796

5
1. An online store sells Raider shirts. They charge $8 for shipping and $21
per shirt ordered. Write an expression that can be used to find the cost in
dollars for R shirts including shipping. *


HELPPPP

Answers

Answer:

21s+8=r

need more characters

Does y=2x-4 represent a linear function?

Answers

Answer:

Yes

Step-by-step explanation:

This equation is in slope-intercept form, [tex]y=mx+b[/tex]. If graphed, it would be a line.

Hope this helps!

Yes!
If x doesn’t have any power, it is a linear function
For example:
(x^2 is a quadratic function)
(x^3 is a cubic function)

What is 6.92 × 10^−3written in standard form?

Answers

Answer:

0.00692

Step-by-step explanation:

6.92

×

10

3

=

6.92

10

3

=

6.92

1000

=

0.00692

THIS IS MY 5th TIME POSTING THIS AND NOBODY IS HELPING WHAT IS THE SLOPE,X int , Y int OF THIS EQUATION ALSO PLS SHOW UR WORK

Answers

Answer:

2x+y=-5

Y=-5-2x

X | Y

(0 ; -5)

(1 , -7)

(-2'5 ; 0)

And then put the points in the graph

i hope this helps! if you have a question about it just ask me!

Write an equation in Slope Intercept Form for the following line.

Answers

Answer:

y=2x+-4

Step-by-step explanation:

Answer:

The equation in slope intercept form (y = mx + b) is y = 2x - 4

m = the slope

b = the y intercept

The line cross the y-axis at -4 so the y-intercept (b) is -4.

You can use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] since you have plotted points (0, -4) and (2, 0) on the graph that you can plug in.

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

So the slope (m) is 2. Now you can make the slope-intercept form using these values. So, the equation for the line is y = 2x - 4

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. if he has 18 shirts how many pairs of jeans does he have now?

Answers

Answer:

9

Step-by-step explanation:

he has 2 shirts for 1  pair(s) pants so if you multiply 9 times 2 you get 18 and if you multiply 9 time 1 you get  your answer which  is 9

What two numbers multiply to 11 and add to -12

Answers

Answer:

-11 and -1

Step-by-step explanation:

if you multiply -1 and -11, hte negatives will cancel out and it will be positive 11

if you add -11 and -1 the answer will be -12

The two numbers whose multiplication will give 11 and the add will be -12 are -1 and -11.


What is a quadratic equation?

A quadratic equation is an algebraic expression whose power is raised to the second degree.

Mathematically, it can be expressed as:

ax² + bx + c = 0

For more examples, we can have x² -12x + 11 = 0

The way this is solved is that we are going to look for two numbers, in which:

the multiplication of these two numbers will be = 11the addition of those two numbers will be = -12

Therefore, the two numbers are -1 and -11

SO, our quadratic equation can be re-written as:

x² - 1x - 11x  + 11 = 0

x(x - 1) -11(x - 1) = 0

(x - 11 ) (x - 1) = 0

Learn more about quadratic equations here:

https://brainly.com/question/472337

#SPJ2

the following triangles are congruent by SSA

Answers

Answer:

False

Step-by-step explanation:

Missing the side stick

I am trying to find the area of this shape. Can you plz explain in detail.

Answers

Answer:

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

help mee please i don’t understand

Answers

The answers in order is
Bc
Dc
Sas

x^2-15x+7 use quadratic formula

Answers

Answer:

x=15 +-[tex]\sqrt{97}[/tex]/2

Step-by-step explanation:

PLEASE HELP! Geometry Question

Answers

Answer:

hiii

your answer is option d

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

John gets a new job and receives a $500 signing bonus. After that, he makes $200 a day. How much money does he make after 4 days?

Answers

Answer:

John makes a total of $1,300.

Step-by-step explanation:

We know that before his bonus, John already has $500. Then, he gets $200 every day for 4 days.

200 x 4 = $800

So, over the course of those 4 days, Johnny makes $800. Now, let's add this to the rest of his money.

800 + 500 = $1,300

Therefore, John makes a total of $1,300.

Hope this helps! :)

What is the negative reciprocal?

-23/17

Answers

Answer:

17/23

Step-by-step explanation:

-(-17/23)

17/23

Help please 20 points and brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

The average person uses 6 square feet of area. If we have a 30 ft by 15 ft room with walls 10 ft high, approximately how many people could stand up in the room?

Answers

Answer:

300persons

Step-by-step explanation:

First we need to find the total surface area of the room expressed as;

Total surface area = 2(LW+LH+WH)

L is the length = 30ft

W is the width = 15ft

H I the height = 10ft

Substitute

TSA = 2{(30(15)+30(10)+15(10)}

TSA = 2(450+300+150)

TSA = 2(900)

TSA = 1800ft²

Since an average person uses 6 square feet of area, the total numwr of people that can stand up the room is expressed as;

Total people = TSA/average area per person

Total person =1800/6

Total person = 300persons

Hence 300persos can stand up the room

Yo guys I need you’re help

Answers

Answer: The answer is 8

Step-by-step explanation:

This is because 0.9x0.9 equals 8.1.

Also 0.1x2=0.1

The anweser will be 21
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