Which of the following is a characteristic of hyperbolic geometry?

A. There are an infinite number of lines parallel to a given line
through a given point.

B. There is exactly one line perpendicular to a given line through a
given point.

C. There is exactly one line parallel to a given line through a given
point.

D. There are an infinite number of lines perpendicular to a given line
through a given point.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer 2

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!


Related Questions

PLEASE HELP! ITS DUE TODAAY!

Answers

Answer:

center

Step-by-step explanation:

Can I have a thanks, 5 star, brainliest and tell me if right?

Answer:

The answer is option b

Center.

Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.

Answers

Answer:

no

Step-by-step explanation:

Answer:     I thinks its D if im wrong sorry

Step-by-step explanation:

Which pair of numbers is relatively prime?

Answers

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

question in attachment

Answers

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]

Mean =241.75

[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]

Standard deviation =86.63

Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

x^3/x^1/6=x^a value of a in simplest form?

Answers

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

A small container and its lid are shown below.
A rectangular prism has a length of 4 centimeters, width of 8 centimeters, and height of 5 centimeters. A rectangular pyramid has a base of 4 centimeters by 8 centimeters and a height of 2 centimeters.

Which correctly describes the dimensions of the figures that make up the container and its lid?
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm
a rectangular prism measuring 2 cm by 4 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 5 cm by 8 cm
a rectangular prism measuring 2 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm

Answers

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The container is shaped a rectangular prism

- Its base is a rectangle of dimensions 4 cm by 8 cm

- Its height is 5 cm

- The lid of the container is shaped a rectangular pyramid

- Its base is a rectangle with the same dimension of the base of the

container 4 cm by 8 cm

- Its height is 2 cm

* Lets solve the problem

∵ The container is shaped rectangular prism

∵ The base of the container is a rectangle with dimensions 4 cm

 by 8 cm

∵ The height of the container is 5 cm

∵ The led of the container is shaped a rectangular pyramid

∵ The base of the lid of the container is a rectangle with dimensions

 4 cm by 8 cm

∵ The height of the lid is 2

∴ A rectangular prism measuring 4 cm by 5 cm by 8 cm and a

 rectangular pyramid with the dimensions of 2 cm by 4 cm by

 8 cm is the correctly describes the dimensions of the figures

  that make up the container and its lid

explain the triangle angle sum property

Answers

Answer: explanation below

Explanation: The triangle sum property states that a triangle’s angles always add up to 180 degrees. Whether or not the triangle is acute, obtuse, or right, all of its three angles always add up to 180 degrees.

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

Are these rates equivalent?
25 minutes for 3$
1 hour for 6$

Answers

Answer:

no

Step-by-step explanation:

25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.

Answer:

no

Step-by-step explanation:

We can use ratios to see if they are equivalent

25 minutes        60 minutes

---------------- = -------------------

3 dollars           6 dollars

Using cross products

25*6 = 3 * 60

150 = 180

This is not true so they are not equivalent

HELP PLEASE
Question 1
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?

Likely
Certain
Unlikely
Impossible

Question 2
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?

15 over 31
16 over 31
15 over 16
16 over 15

Question 3
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?

10%
40%
50%
60%

Question 4
The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?

Likely
Certain
Unlikely
Impossible

Answers

Answer:

1. certain

2.15/31

3.40%

4.unlikely

find the slope of the line that passses thruogh 6,10 and 4,5

Answers

Answer:

2.5

Step-by-step explanation:

In the pic below

Help asap please, dhebduhd

Answers

Hi there !

The answer is B. angle 4.

An alternate interior angle is diagonally across one angle on the inside of the transversal. Opposite of 5 on the inside is angle 4.

Hope this helps !

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

quesnon
11. What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
id
O A. 41 in.
B. 14 in.
C. 44 in.
D. 21 in.

Answers

Answer:

C. 44 in.

Step-by-step explanation:

[tex] = 2 \times \pi \times r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: in[/tex]

Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?

Answers

Yes, Kevin is correct

In "The Gift of the Magi," O. Henry most likely uses the irony of the couple’s gifts to express the theme thatWhat number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Answers

Answer:

Step-by-step explanation:

To complete the square, divide that 10 in the 10x by 2, then square that answer.

10/2 = 5

5^2 = 25

Add 25 to both sides

Simplify the following 2a + 3b + 4a – 7b

Answers

6a - 4b

You would take 2a and add 4a to it which will give you 6a. Then you will take -7b and add 3b to it. I usually just subtract when the bigger number is a negative. Once you do that though you will get -4b. Finally your answer will be 6a -7b

Answer:2a

We add 2 and 3 and we get 5 then we do 4-7=-3. Then we do 5-3=2 and we add a.(we only add all a’s when we multiply)

And the answer is 2a

13. Nine less than a number is no more than 8 and is no less than 3.

Answers

Step-by-step explanation:

I think we can choose the number 5 so

9 - 5 = 4 no more than 8 and less than 3

Answer:

[tex]&#x \in [12, 17][/tex]

Step-by-step explanation:

[tex]3 \leq x-9 \leq 8 \\ \\&#3 \leq x-9 \\
3+9 \leq x \\&#12 \leq x[/tex]

[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\&#12 \leq x \leq 17[/tex]

[tex]&#x \in [12, 17][/tex]

Why are some right triangles considered special?

Answers

Special right triangles. A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form a simple ratio, such as 45-45-90. This is called an "angle based" right triangle.

What's the largest eight-digit base 2 integer? Express your answer in base 10.

Answers

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

(: Please answer both questions :)
First person gets 50 points!

Answers

Answer:

1. 1350

2.2700

Step-by-step explanation:

Solve by taking the square foot of both sides.
3(x+3)2 - - 81 = 0
x=-3-3-3 or – 3+3 / 3
b x = -3- 613 01-3+63
a.
c. x = 3-3301 3+33
d x-3-3-301-3+3.3

Answers

Answer:

x = - 12, x = 6

Step-by-step explanation:

Given

(x + 3)² - 81 = 0 ( add 81 to both sides )

(x + 3)² = 81 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )

x = - 3 ± 9

Thus

x = - 3 - 9 = - 12

x = - 3 + 9 = 6

Please help me with this triangle problem!

Answers

Answer:

Answer is given below with explanations.

Step-by-step explanation:

By using the results of the similarity theorem

we say that

[tex] {y}^{2} = 4 \times 12 \\ {y}^{2}= 48 \\ {y} = \sqrt{48} \\ y = 4 \sqrt{3} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Find the value of x in the triangle shown below.

Answers

Answer:

58

Step-by-step explanation:

since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)

then just use 180 minus the two angles and you will get x

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

-5/6+2/6=
What is the answer to this?

Answers

Step-by-step explanation:

Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.

Answer:

-1/2

Step-by-step explanation:

2/6-5/6=

(-(5-2))/6=

-3/6:

-3/3=-1

6/3=2

-3/6=-1/2

Does (3, –8) make the equation y = –x + –5 true?

Answers

Answer:

true

Step-by-step explanation:

y = –x + –5

Substitute the point into the equation

-8 = -3 + -5

-8 = -8

This is true so the point is a solution to the equation

A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?

Answers

Answer:

Step-by-step explanation:

Starting off we have this information:

Gus has $75 (g = 75).

He can withdraw up to 200 dollars more than he has.

This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.

Anyway, every time he purchases while in overdraft, he loses another $35.

He spends a total of $127 before overdraft fees.

He then gains $25 dollars.

So, for the first interpretation:

75-100-(27+35)+25 = $-62

For the second interpretation:

75-(100+35)-(27+35)+25 = $-97

Hope this helped.

Somebody please help me thank

Answers

Answer:

Step-by-step explanation:

[tex]5.003*10^{9}=5,003,000,000[/tex]

5.003* 10⁹ < 5,083,000,000

5.003 x10^9 < 5,083,000,000 x10^-1

Find the area of the polygon

Answers

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Answers

Answer:

Here's what I get.

Step-by-step explanation:

Assume the figure is like Image 1  below.

We must dilate each point by a scale factor of 3 centred at (2, −7).

1. Determine the transformation rules

Each point moves to three times its original distance from the centre.

Let P = a point on the figure and

let O = the centre of dilation

and L = the distance from the point to the centre. Then

L = P - O

Three times that distance is  

3L = 3P - 3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.

P' = 3L + O = 3P - 3O + O = 3P + 2O

If P is at (x,y) and O is at (h,k), the transformation rule is

(x,y) ⟶ (3x - 2h, 3y - 2k)

2. Make a table of the new coordinates

[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]

3. Graph the new shape

You should get a graph like Fig. 2.

The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.

Point B is two units left of O and three units up.

Also, B' is six units left and nine units up, so the scale factor is three.

 

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