Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?

1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.

4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.

Answers

Answer 1

Answer:

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.

After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:

Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.

From the above explanation, we could deduce that the correct option is Option 2.

Answer 2

Answer:

The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:


Related Questions

Jason left his house at 9:58 A.M. He arrived at
the baseball field 16 minutes later. At what
time did Jason arrive at the baseball field?

Answers

Answer:

10:14

Step-by-step explanation:

He arrived to the baseball field at 10:14 A.M.

PLEASE HELP ME GIVING Brainliest!!!
Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?

Answers

Answer:

107 and 4/5 or 107.8

Step-by-step explanation:

14 times 38.5 is 539.

539 times 1/5 is 107 and 4/5 or 107.8

Answer:

$106.73

Step-by-step explanation:

14 x 38 ½ = 533.68

533.68 ÷ 5 = 106.73.   Keyleanis paid Claudia $106.73

I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Include the average rate of change in your answer.

Answers

Answer:

39

Step-by-step explanation:

The average rate of change obtained from the ratio of the change in y to the change in x is 39.

The average rate of change can be obtained using the relation :

Rate of change = (y2 - y1) ÷ (x2 - x1)

At ; x1 = 1

y1 can be calculated from the function ;

y1 = 3(1³) + 1 = 3(1) + 1 = 4

At ; x2 = 3

y1 can be calculated from the function ;

y2 = 3(3³) + 1 = 3(27) + 1 = 82

Rate of change can be calculated thus :

Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39

Therefore, the average rate of change is 39.

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Please I really need help!
It’s 10th grade Integrated Math ll
Given in the diagram:
ED = 7ft
m?BAE = 30°m?A
CB = 45°
m?ABE =

Answers

Answer:

I AM STUCK ON THAT ONE TO!!!

Step-by-step explanation:

CAN SOMEONE PLZZZ HELP!!

Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?

Answers

Answer:

48 pages total

Step-by-step explanation:

hope this helps

Write the linear equation in slope intercept form y-2=1/2(x+4)

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Point-slope form; y - 2 = 1/2(x + 4)

Step 2: Rewrite

Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4

Answer:

y=1/2x+4

Step-by-step explanation:

y-2=1/2(x+4)

(distribute the 1/2)

y-2=1/2x+2

(add 2 to both sides)

y=1/2x+4

the scale on a map is 1:500000
two towns are 7cm apart on the map
what is the actual distance between the towns in kilometers ?

Answers

Answer:

35km

Step-by-step explanation:

1:500000

7:?

(cross multiply)

=3500000cm

1km=100000cm

3500000cm

3500000cm×1km

100000cm

=35km

John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?

Answers

Answer:

Maximum distance covered by John = 22.8 miles

Step-by-step explanation:

The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Amount of money John has = $y

Let the number of miles traveled in $y = x miles

If John finds a cab charging same fee and $0.45 per mile,

y ≤ 2.25 + 0.45x

y - 2.25 ≤ 0.45x

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

Therefore, inequality representing the maximum distance covered by John,

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

If, y = $12.52

[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]

x ≤ 22.8 miles

Therefore, John will be able to travel the maximum distance = 22.8 miles.

Answer:

x ≤ 22.8 miles

John will be able to travel the maximum distance of 22.8 miles.

Step-by-step explanation:

I hope this helps

HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6

A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90

Answers

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= 15x = 48

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

B. 15x = 48

Answer:

its B

Step-by-step explanation:

please please please i need help !!!

Answers

Answer: Choice B

h(c) = 1 for at least one c between -3 and 4

====================================================

Explanation:

Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.

Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.

The region inside this rectangle is all we care about.

We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.

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

After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.

This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).

This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.

This says that for some input between -3 and 4, it's possible to get an output of 1.

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

Here's a real world example of the intermediate value theorem.

Let's say the endpoints are A and B, and they are two towns.

The h(x) curve is a road connecting the towns.

To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.

side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).

What is the slope of a line that is perpendicular to the line shown on the graph?

Answers

The slope of the line that is perpendicular to the line shown should have an opposite slope. For example if the slope is 2/5. The perpendicular slope is -5/2. Hope this helps!!

How many subscribers will there be in week 9 if the initial number of subscribers is 10?

Answers

Answer:

if the number of substribers has a constant rate of change than the number of subscribers in 9 weeks should be around 90

which of these numbers has the most factors? 6:
17:
25:
36:

Answers

Answer:

36

Step-by-step explanation:

36 is correct answer.


Select the correct answer.
Which of these graphs represents a function?



Answers

Question:

Select the correct answer.

Which of these graphs represents a function?

Answer:

B. X

Explanation:

D. Z is not the answer

Look at image Please help I’m struggling

Answers

Answer:

.75 per 1 apple

Step-by-step explanation:

A unit rate has only 1 of the item in the denominator

12 apples and 4 apples are not 1 of the item

$.75/ 1 apple is a unit rate

.75 an Apple

have a good day

simplify into one fraction (thanks in advance)

[tex] \frac{2}{p + 3} - \frac{5p}{2p - 2} [/tex]



Answers

-5p^2-11p-4/2p^2+4p-6
Hope this helps:)

Answer:

2-5p

1-p

Step-by-step explanation:

put the whole equation into one one fraction. then you simplify. first do the bottom

1. first do 3-2=1

2. then the variable numbers i forget the fancy term

p-2p = -p

3. add together 1 - p

then do the top

its the same thing so then you put the new fraction together

4. 2-5p

1-p

I forget if there's anymore steps but I hope this helps

Wanda the Witch knows Halloween is coming up soon so she

has started increasing the amount of carbs she eats every

day so she can build up some stamina for all the work

that Halloween brings. (Scaring little kids is a lot of work)


Wanda increased her Carbohydrate intake

from 250 grams a day to 415 grams a day.


By what percentage did Wanda increase the amount of


carbs she eats daily?

Answers

Answer:

mathematics ba talaga po ba ito?

John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.​

Answers

Answer:

Step 4!!!

Step-by-step explanation:

if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet

Answers

Answer:

300 dollars

Step-by-step explanation:

Multiply 10 feet by 12 feet to get the total number of feet needed

10x12=120 feet

120 times $2.5= $300

The cost to carpet a rectangular floor is $300.

Given that,

The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feet

Based on the above information, the calculation is as follows:

[tex]= 10 \times 12 \times \$2.50[/tex]

= $300

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HELP MEH BRAINLIEST ANSWERS

Answers

Answer:

Not sure if this has been answerd but its 6

Step-by-step explanation:

if u are really gonna give brain that would be cool

The submarine dove 150 feet from periscope height to an elevation of 200 feet below sea level.

A number line has points blank, A, negative 100, B, 0, C, 100, blank, D.

Which point is a representation of periscope height?
Point A
Point B
Point C
Point D

Answers

Answer:

d

Step-by-step explanation:

Answer:

It is point d

Step-by-step explanation:

if a=3 and b=5, what is the value of a^2 + b^2?

Answers

Answer:

31

Step-by-step explanation:

6+25=

Answer:

34

Step-by-step explanation:

3^2 = 9

5^2 = 25

25 + 9 = 34

10 points
HEELP IMEDIALLTLY

Use linear equation to calculate intercepts.

Answers

Answer:

a=8, b=-4

Step-by-step explanation:

set both equal to zero

a: 0 (-1/2)(8)=-4

-1/2y=-4, multiply both sides by the reciprocal of -1/2, which is -2

y=8 when you multiply both sides by -2

b: 4-(0)(0)=-4

when y is 0, the equation become x-0=-4

or x=-4, meaning x must equal -4

Answer:

a is equal to 8

b=-4

Step-by-step explanation:

A computer store pays sales associates $10 per hour

and managers $15 per hour. If the total hours
worked by the sales associates is 100 and the total

hours worked by managers is 50, how much will the

store pay in wages?

Answers

Answer:

They pay a total of  $1750.

Step-by-step explanation:

You multiply the hours by the pay per hour SO,

Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"

Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"

Add the total sums ($750 + $1000) and get a total of $1750

Can someone help me with these two questions step by step plz

Answers

Answer:

1) x= 20

2) x= 75

Step-by-step explanation:

In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10

Step 1- Subtract 10 to both sides.

50= 2x+10

-10         -10

40= 2x

Step 2- Divide both sides by 2.

40= 2x

2     2

x= 20

In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:

x-10+2x-35= 180

Step 1- Add common variables.

(x+2x)+(-10-35)= 180

3x-45= 180

Step 2- Add 45 to both sides.

3x-45= 180

   +45  +45

3x= 225

Step 3- Divide both sides by 3.

3x= 225

3      3

x= 75

Input the value of x into the equations.

75-10= 65

2(75)-35= 115

Hope this helps!

Describe or show how to find the following product using both an algorithm and a diagram:

3 x 3/4

Answers

Answer:

Explanation:

PART 1. Using an algorithm:

First expression:

Step 1: Multiply numerators and denominators.

Second expression:

Step 1: Multiply numerators and denominators.

Third expression:

Step 1: Convert mixed fraction into improper fraction:

Step 2: Replace the improper form into the expression

Step 2: Multiply numerators and denominators.

PART 2. Using diagram:

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.

Step-by-step explanation:

Answer:

hhahaahhahahaahhaahaha yalll so dum hahahahahahahhahaahah

Step-by-step explanation:

this is easy. hahahahahahahhaahahhaahahahhaahhaahahahaha

Watermelons are on sale at the grocery store. They cost $6
for 2 watermelons. How many watermelons could you buy
for $21?

Answers

Answer:

7

Step-by-step explanation:

Answer:10 watermelons

Step-by-step explanation:

ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

- 84

Step-by-step explanation:

I think answer to this question is -28

I hope it will be correct

what is 2 2/3÷1 1/2?

Answers

Answer:

1 7/9

Step-by-step explanation:

i hope this helps you out!!

brainliest greatly appreciated

Answer:

1 7/9

Step-by-step explanation:

Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.

PLS HELP

Answers

Answer:

y=1/2x-6

Step-by-step explanation:

use the equation y=mx+b

m=slope and b=y-intercept.

we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!

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