Mathematics High School

Which of the following are among the five basic postulates of Euclidean geometry?

Check all that apply.
A. All equilateral triangles are also equiangular.
B. A circle can be drawn with any center and radius.
C. Through a point not on a given line, there is exactly one line parallel to the given line.
D. All right angles are equal to one another.

Answers

Answer 1

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

Answer 2

From the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

The five basic postulates of Euclidean geometry

The five (5) basic postulates are:

Any straight line segment is drawn from any point to another.Any straight line can be drawn and extended to any finite length.Circles are drawn given a center and radius.Right angles are always congruent.If a given point is not on a given line, there exist a line that is parallel to the given line.

Therefore, from the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

Learn more about Euclidean Geometry on:

https://brainly.com/question/17304015

Related Questions

Please help with 1 question thank you!

Answers

after rotating 180 degrees it would be Line ON

The following table gives the science scores and times spent studying for 10 students:
Name Scores (%) Time Spent
Studying (hrs)
Angela 90 4
Brad 70 2
Curt 80 3
Dozer 60 1
Enda 50 1
Frank 40 2
Gill 100 4
Hailey 100 3
Intra 50 1
John 80 3
Describe the correlation between the score and time spent studying.

Answers

There appears to be a positive correlation between the number of hour spent studydng and the score on the test.

When identifying the independent and dependent quantities, we think about what would cause the other to change.  The score on the test would not cause the number of hours spent studying to change; rather, the number of hours spent studying would cause the score to change.  This means that the number of hours studying would be the independent quantity and the score would be the dependent quantity.

Plotting the graph with the time studying on the x-axis (independent) and the score on the y-axis (dependent) gives you the graph shown.  You can see in the image that there seems to be a positive correlation; the data seem to generally be heading upward.

As per the table, the given science scores and time data for studying about 10 hours are given.

A positive correlation can be seen between the number of hours spent studying and the scores.  This states that the no. of hours of studying could be on the independent and the score would be the dependent quantity. When on the graph with the time studying on the x-axis and the y-axis gives you the graph the line seems to be going up hence a positive correlation.

Learn more about the gives the science scores and times spent studying.

brainly.com/question/25299087.

Please help will give Brainliest!! 1.Find the length of line segment AB when A=(2, 0) and B=(2, 6)
2.Find the length of CD: C(12, -10) and D(0, -6)

3.Find the length of EF: E(-3, 2) and F(6, 2)

Answers

To find the distance you can use the formula [tex] \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}} [/tex]

Try to work it out but if you still need help then ill be be happy to do so :)

So I need help in geometry

Answers

cos 24 = 11/x
so 
x = 11/cos 24
x = 11 / 0.9
x = 12.2

answer
x = 12.2

What is the greatest common factor of 62 and 82? Use prime factorization solve.

Answers

62=2×31
82=2×41
so the answer is 2

which equation describes the same line as y-3=-1(x+5)?
A. y=-1x+8
B. y=-1x-2
C. y=-1x-1
D. y=-1x-5

Answers

y-3 = -1 (x+5)
y-3 = -x-5
y = -x-5+3
y = -x-2

B

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold? Answer: bleacher tickets

Answers

Let g and b represent the numbers of grandstand and bleacher tickets sold... g + b = 5716 . . . . . . . . . total number of tickets sold.. 65g +40b = 341690 . . value of tickets sold
Using the first equation.. g = 5716 -bSustituting into the second equation.. 65(5716 -b) +40b = 341690.. -25b + 371540 = 341690 . . . . . collect terms.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

Match each angle measure in degrees with its equivalent measure in radians

Answers

To convert angle from radian measure to degree measure, multiply it by 180/π.

So,
a) 5π/4 in degree measure will be:

[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]

So, 5π/4 radian is equal to 225°.

b) 9π/5 in degree measure will be:

[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]

So, 9π/5 radian is equal to 324°.

c) 2π/3 in degree measure will be:

[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]

So, 2π/3 radian is equal to 120°.

d) 4π/9 in degree measure will be:

[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]

So, 4π/9 radian is equal to 80°.

e) 5π/6 in degree measure will be:

[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]

So, 5π/6 radian is equal to 150°.

f) 7π/4 in degree measure will be:

[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]

So, 7π/4 radian is equal to 315°.

Answer:

Hm..

Step-by-step explanation:

Which shows the relationship between work input and work output? A. input force × input distance > output force × output distance B. input force × input distance < output force × output distance C. input force × input distance = output force × output distance

Answers

input force x input distance > output force x output distance is your answer so A.

Answer:

The correct answer is A

I got it right on my quiz


Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay

Answers

Answer: Varies depending on the percent that you use.

To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.

A common percent is 30%.

So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.


Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.

Answer is $1350

A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper? A. $0.17 B. $1.70 C. $0.07 D. $1.07

Answers

The answer is A. $0.17 . 

PLEASE HELP ME ON THIS

Answers

it's B the second one
the answer is 
8x+12y<96
x+y>10

what is the measure of AC?

Answers

we know that
The inscribed angle measures half of the arc it comprises
∠ABC=mAC/2
so
mAC=2*∠ABC
mAC=2*75°
mAC=150°

the answer is mAC=150°

A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola.

Answers

y = a(x + 2)(x - 3) : equation of the parabola in factored form 10 = a(5 + 2)(5 - 2) : (5 , 10) is a point on the graph of the parabola and therefore satisfies the equation of the parabola. a = 5/7: solve the above equation for a.

For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.

Answers

the correct answer is -1.

Answer:

B. -1

Step-by-step explanation:

We have the equation, [tex]\frac{x^{2}+5x+6}{x+3}=1[/tex].

Now, factorizing the polynomial [tex]x^{2}+5x+6[/tex], we get that the factors of the polynomial are (x+3) and (x+2).

So, we get,

[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex]

i.e. [tex]\frac{(x+3)(x+2)}{x+3}=1[/tex]

i.e. x + 2 = 1

i.e. x = -1.

Hence, we get that the value of x is -1.

JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist between the two tangents? explian

Answers

check the picture below.

notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.

notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.

Please help ASAP!! Super appreciated!!! <3

Answers

The data is not linear. From (3, 1) to (7, 2), we add 4 to the x-value and add 1 to the y-value. This pattern continues for a little while, however, from (11, 3) to (18, 5), we add only 7 to the x-value even though we added 2 to the y-value. Given this information, we can determine that this is not linear data.

helpppppppppppppppppppppppppp

Answers

A. First notice that the function is moved up by two units from the origin, not four, so the answer must be in A, B, and D. Also notice that the period of the function is pi instead of 2pi, so the coefficient before x is 2pi/pi=2, so eliminate B. The function is opposite of original sin function, so there's a negative sign in front of the expression. The answer is A.

A bike ramp has a slope of 3/4. What is the angle the ramp makes with the ground?

Answers

That would be 36.87°
Hope it helps !
And it would be awesome if you marked this awnser as Branliest! Thank you :)

George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How many points does George have?
What operations are needed to solve this word problem, and in what order should they be used?

addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order

Answers

If we take the amount of points to be x before doing any operations on it ,
george has 2 times points of x 
however x is 4 points less than sisters points which is 16 points 
Then we subtract 4 from 16 = 12
12 is equal to x and george has twice of x 
Therefore we first subtract 4 from 16 and then multiply  it by 2, thats 12*2 = 24 
therefore george has 24 points 
the operations are subtraction and multiplication in order 

32 to 28 is what percentage of what change an increase or decrease

Answers

im not sure but i think its decreased by 12,5%

Yulia estimates college tuition and fees, room and board, books, and other charges total $15,350. She will receive a $1500 scholarship. If she has 4 years to save, how much should Yulia save per month to cover the costs of college (minus the scholarship)? A. $288.54 B. $319.79 C. $3462.50 D. $3837.50

Answers

We know the the total cost of Yulia's college education is $15,350. We also know that she will receive a $1500 scholarship, so she will have to pay [tex]15350-1500=13850[/tex]$. A year has 12 months, so 4 years have [tex]4(12)=48[/tex] months.
Now to find how much she will need to save each month, we are going to divide the total cost of her college education by 48 months:
[tex] \frac{13850}{48} =288.54[/tex]

We can conclude that Yulia will have to save $288.54 per month to cover the costs of her college education. Therefore, the correct answer is: A. $288.54 

Jeffrey has 12 friends. He wants to give each friend 3 stickers. Which equation can be used to find how many stickers Jeffrey will need?

Answers

An equation that could be used is 12/3. Or 12 over 3. (The bar, or fraction bar means divide.) He can divide 3 by 12. His answer is 4.

A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times will alexis have to fill the measuring cup?

Answers

Change 1 1/2 into improper faction

1 1/2 = 3/2

Change 3/2 to quarters

3/2 = 6/4

1 measure cups = 1/4 cup

To get 6/4 cups 
6/4 ÷ 1/4 = 6/4 x 4/1 = 6 

He needs to fill in 6 times

5. Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.

Answers

Conditional Statement: If it is a beagle, it is a dog.
Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).

Does anyone know what the system of equations for this would be?

Answers

a + b = 10 pounds
rewrie as:
a = 10 pounds  - b

0.75a + 0.50 b = $6.00
replace a with the above equation:

0.75(10-b) +0.50b = 6.00

distribute the(10-b):

7.50 - 0.75b + 0.50b = 6.00

combine like terms:

7.50-0.25b = 6.00

subtract 7.50 from each side:

-0.25b = -1.50

divide both sides by 0.25 to find b
b = -1.50 / -0.25
b = 6 

she bought 6 pounds of bananas and 4 pounds of apples

Nikola buys a bouquet of 8 sunflowers for 18$. What is the cost for 1 sunflower.

Answers

The cost for 1 sunflower would be $2.25. We can figure this out by doing the expression $18 divided by 8 which gives up $2.25.
I hope this helped! :-)

can someone check my answers?
simplify the following expression
21(x-4)+2
A.21x=2 my answer
B. 107x
C. 21x-82
D. 27x

solve the following expression 5x-102=13
A. 23 my answer
B. -23
C. -17.8
D. 17.8

solve the following equation 2x-31=3(x+2)
A. 37
B.-37 my answer
C. 5
D. 37/5

find the range of the function f(x)=4x=1 for the domain (-1,0,1,2,3)

A. -5,-3,0,7,11 my answer

find the slope of the graph 9x-3y=15
A: -3
B.3 my answer
C. -1/3
D.1/3

if i got it wrong walk me through it and we will figure it out together:) @Nnesha @jim_thompson5910

Answers

1. 21(x-4)+2 = 21x - 84 + 2 = 21x - 82 (C is the correct answer) 
2. 5x-102 = 13; 5x = 115; x = 115/5; x = 23 (A is the correct answer)
 3. 2x-31=3(x+2); 2x-31=3x+6; -x=37; x=-37 (B is the correct answer)
 4. Correct answer is (-5, -1, 3, 7, 11). When each of the X values is put in the equation for Y, i.e. 4x-1. Thus: 4*(-1)-1=-5; 4*0-1=-1; 4*1-1=3; 4*2-1=7; 4*3-
1=11
 5. Slope is 3. y=3x-5

What is the vertex of the graph of y = x2 + 4x?
(–2, –12)
(–2, –8)
(–2, –6)
(–2, –4)

Answers

the answer is (-2,-4)

Answer:

(-2, -4)

Step-by-step explanation:

Let's remember how to calculate the vertex of a parabola:

If we have the equation of the parabola given in the form y = ax^2 + bx + c, the x-coordinate of the vertex is x = -b/2a. For the y-coordinate we just replace the x of the equation with -b/2a and do the calculation.

In this case, a = 1, b = 4, c = 0.

The x-coordinate of the vertex is x = -4/2*1 = -2

The y-coordinate is y = (-2) ^2 + 4*(-2) = 4 - 8 = -4

Therefore, the vertex is (-2, -4)

Line AB intersects line DF. Which statement shows that the two lines are perpendicular?

Line AB and line DF are on the same plane.
Line AB and line DF intersect only once.
Line AB and line DF intersect at a 90° angle.
Line AB and line DF intersect at a 180° angle.

Answers

Answer:
Line AB and line AD intersect at a 90° angle

Explanation:
Two lines are said to be perpendicular if the angle between the two lines is 90 degrees.
If the angle between the two lines is 180, the two lines are said to be supplementary angles
The first and second options do not imply that the lines are perpendicular as the angle formed between them could be less or more that 90°.

Hope this helps :)
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