As per an axiom in Euclidean geometry, if__ points lie in a plane, the___containing those points also lies in the same plane.
1. two or three
2. plane or line

Answers

Answer 1
The first blank is two and the second blank is line
Answer 2

Answer:

1. Two

2. Line

Step-by-step explanation:

Two out of the five axioms of the Euclidean Geometry are:

1. A straight line can be drawn between any two points.

2. Any straight line can be extended infinitely.

So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.

Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.


Related Questions


Which equation shows how the properties of numbers extend to negative whole numbers by the Commutative Property of Addition?
A) −2 + 4 = 4 + (−2)
B) −2(4) = 4(−2)
C) (−2 + 4) + 3 = −2 + (4 + 3)
D) −2(4 + 3) = (−2 x 4) + (−2 x 3)

Answers

Example for the Commutative Property of Addition:
5 + 4 = 4 + 5
B ) - 2 * (4 ) = 4 * ( - 2 )   / The Commutative Property of Multiplication
C ) ( - 2 + 4 ) + 3 = - 2 + ( 4 + 3 )  /  The Associative Property of Addition
D ) - 2 * ( 4 + 3 ) = ( - 2 x 4 ) + ( - 2 x 3 )   / The Distributive Property
Therefore the answer is:
A ) - 2 + 4 = 4 + ( - 2 ) 

Answer:

Your answer is gonna be D


which value for the number makes the statement true?

the quotient of a number and five is eight

a.4
b.8
c.40
d.80

Answers

A product is the result of multiplication.
A quotient is the result of division.
So you're trying to find the quotient of a number (x) and 5 that equals 8.

Try plugging in the answers. 
  x/5=8

A. x=4
  4/5=8  (Incorrect, 4 divided by 5 is 0.8)

B. x=8
  8/5=8  (Incorrect, 8 divided by 5 is 1.6)

C. x=40
  40/5=8  (Correct, 40 divided by 5 is 8)

D. x=80
  80/5=8  (Incorrect, 80 divided by 5 is 16)

So your answer is C. 40
The quotient of 40 and 5 is 8.

A ____ is a subset of a given set of elements

Answers

Answer:

The correct answer is a COMBINATION

A combination is a subset of given elements.

Step-by-step explanation:

What is the value of the function at x=−3?



y=−3

y = 0

y = 4

y = 3

Answers

Hello There!

You're answer is y = 4.

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 

Answer:

the value of the function at x=-3 is y=4

Step-by-step explanation:

We are given with the graph of the function

In the given graph the x value is the input and f(x) is the output

x is the input value and f(x) is the output value y

given the input value x=-3

To find the function value when x=-3 we need to find out y from the graph when x=-3

From the graph the y value is 4 when x=-3

So the value of the function at x=-3 is y=4

Translate the following word phrase into an algebraic expression.
" 3 multiplied by the sum pf a number and 5"
A. 3(x+5)
B. 3x+5
C. x+(3)(5)
D. 5x+3

Answers

A. 3(x+5) Is the answer :)

You begin solving the equation 4−5x=594-5x=59 by subtracting 44 from both sides. Which is the best choice for Step 22?

Answers

4 - 5x = 59

Subtract 4 from both sides:

-5x = 55

Since x is being multiplied by -5, the next step is to divide both sides by -5.

Choose the expression that would equal the number of hours in the following question.

If a car averages 50 1/2 miles per hour, how many hours will it take to go 47 1/2 miles?



A: 583/6

B: 285/302

C: 302/285

D: 45,602/6

Answers

B. 285/302. This is the correct answer because it is the only choice which is roughly the same ratio as 47.5/50.5 which is the ratio needed to determine how long it would take to go 47 1/2 miles in a car that averages 50 1/2 miles per hour. The mathematical equation which represents the problem is: 50.5/1 = 47.5/A (A = hours) which is the same as 50.5 A = 47.5 which means A = 47.5/50.5 which means A = .94 hours. 285/302 also equals .94.

Sondra lives in Nebraska and pays 5.5% in sales tax. If she just bought a belt that cost $22, what was the total amount she paid for the belt, including sales tax?

A.$12.10
B.$20.79
C.$34.10
D.$23.21

please help

Answers

5.5% = 0.055

 22 * 0.055 = 1.21

22 + 1.21 = 23.21

 Answer is D


Answer:

D. $23.21

Step-by-step explanation:

We have been given that Sondra lives in Nebraska and pays 5.5% in sales tax. She just bought a belt that cost $22.

The total amount paid by Sondra for the belt will be equal to cost of belt plus 5.55 of the cost of the belt.

[tex]\text{Total amount paid by Sondra}=\$22+(\frac{5.5}{100}\times \$22)[/tex]

[tex]\text{Total amount paid by Sondra}=\$22+(0.055\times \$22)[/tex]

[tex]\text{Total amount paid by Sondra}=\$22+\$1.21[/tex]

[tex]\text{Total amount paid by Sondra}=\$23.21[/tex]

Therefore, the total amount paid Sondra for belt is $23.21 and option D is the correct choice.

The Griffins and the Corbins live in the same city and pay the same sales tax rate, and both families made $12,000 in taxable purchases last year. If the Griffins made $73,000 and the Corbins made $29,000 last year, is the sales tax in their city an example of a regressive tax?

A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
B.No, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
C.No, because the Griffins and the Corbins both paid the same sales tax rate.
D.Yes, because the Griffins and the Corbins both paid the same sales tax rate.

Answers

The answer is A although the sales tax is uniform  , since the Corbins made less money so they paid more sales tax from their pocket thats what regressive tax is about.

Answer:

The correct answer is A.

Step-by-step explanation:

A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.

Regressive tax is applied uniformly and this causes lower-income people to pay a larger share of their income than rich people. It is not a fair way though it seems to be. Most regressive taxes are not income taxes.

How to factor with a number in front of the first variable?

Answers

 Make sure that the trinomial is written in the correct order; the trinomial must be written in descending order from highest power to lowest power.Step 2 :Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.Step 3 :Multiply the leading coefficient and the constant, that is multiply the first and last numbers together.Step 4 :List all of the factors from Step 3 and decide which combination of numbers will combine to get the number next to x.Step 5 :After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3.Step 6 :Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5.Step 7 :Now that the problem is written with four terms, you can factor by grouping.

Express the area of a rectangle as a function of the width w if the width of the rectangle is twice its length

Answers

hope tihs helps :D :Ddddddddddddddd

find the slope of a line whose equation is 3X+6Y=9

Answers

To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.

3x + 6y = 9

6y = -3x + 9

Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.

y = -1/2x + 3/2

Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).

Hope this helps!

Which of the following points lie in the solution set to the following system of inequalities?

y > −3x + 3
y > x + 2
choices:
(2, −5)
(−2, 5)
(2, 5)
(−2, −5)

Answers

(2,5) 
5 needs to be positive

reasons the others dont work:
 (2,-5) negative
(-2,5) Oof, missed by 2, but the -3 slope works wonders.
(-2,-5) needs to be positive

Assume that we want to find the probability that when five consumers are randomly​ selected, exactly two of them are comfortable with delivery by drones. Also assume that 38​% of consumers are comfortable with the drones​ (based on a​ survey). Identify the values of​ n, x,​ p, and q. The value of n is __. ​(Type an integer or a decimal. Do not​ round.) The value of x is __. ​(Type an integer or a decimal. Do not​ round.) The value of p is __. ​(Type an integer or a decimal. Do not​ round.) The value of q is ___ . ​(Type an integer or a decimal. Do not​ round.)

Answers

Final answer:

In the given problem, n (the number of trials) is 5, x (the amount of 'successes' we're seeking) is 2, p (the probability of success) is 0.38, and q (the probability of failure) is 0.62.

Explanation:

In the given problem, we are conducting a binomial experiment where five consumers are randomly selected and we are interested in the number who are comfortable with drone delivery. So, the total number of trials, n, will be equal to the number of consumers selected, which is 5.

The value to be observed, x, is exactly 2, because we want to find out the probability of exactly two of them are comfortable with delivery by drones.

The probability of success, p, is the proportion of consumers that are comfortable with delivery by drones, so p = 0.38 (or 38%).

The probability of failure, q, is the proportion of consumers that are not comfortable with delivery by drones, so q = 1 - p = 1 - 0.38 = 0.62.

Learn more about Binomial Distribution here:

https://brainly.com/question/39749902

#SPJ12

PLEASE HELP QUICK I'M OFFERING BRAINLIEST ANSWER & 10PTS

Answers

Answer: The value of x is 6

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

Angle HDC and angle HDB combine to form a right angle.
The two angles add up to 90 degrees.

So,

(angle HDC) + (angle HDB) = 90
(9x+4) + (32) = 90
9x+(4+32) = 90
9x+36 = 90
9x+36-36 = 90-36 ... subtract 36 from both sides
9x = 54
9x/9 = 54/9 ... divide both sides by 9
x = 6

What is the length of BC¯¯¯¯¯ ?



Enter your answer in the box.

Answers

2x - 24 = x - 2
2x - x = 24 - 2
x = 22

BC = x  = 22

Answer:  The required length of BC is 22 units.

Step-by-step explanation:  We are given to find the length of BC from the figure.

From the figure, we note that ABC is an isosceles triangle, with AC = AB, where

AC = 2x-24, AB = x-2 and BC = x.

Since AC = AB, so we get

[tex]2x-24=x-2\\\\\Rightarrow 2x-x=24-2\\\\\Rightarrow x=22.[/tex]

Therefore, we get

BC = x = 22.

Thus, the required length of BC is 22 units.

How can you describe the solution set of the equation 16x2 - 8x + 1 = 0?

Answers

There is one real solution because the expression’s factors are the same. Hope this helps.
Hello,

 There is one real solution because the expression’s factors are the same. 

For each ordered pair, determine whether it is a solution to y=-4x-6

Answers

we need the other numbers to answer your question

The graph shows the change in a company’s dividends in durning certain year. Which function models this data?

Answers

Every function includes 3ˣ, so they will all have the same general shape. The solution lies in the y-intercept.

When x=0, we want y to equal 1. 
What is 3⁰? Any number to the power of zero is 1. 
Therefore, the function with a y-intercept at 1 is 3ˣ.

Best answer is C) P(X) = 3ˣ

How to solve systems of linear equations step by step?

Answers

yr5ty4yuu5yu5yu56hyu46u4t5u46h6

In one study, the correlation coefficient of measured iq at ages 8 and 10 was .88. this shows a _____ correlation.

Answers

The answer is:  "strong" ; or "positive" [correlation].
_________________________________________________

The sum of two numbers is 56. Their difference is 18.

Answers

Let one number be x and the other be y.
x+y=56
x-y=18
2x=74
x=37
y=19
Hope this helped!

The numbers are 37 and 19

From the question,

Let the numbers be x and y

From the first statement

The sum of two numbers is 56.

That is,

x + y = 56 --------- (1)

From the second statement

Their difference is 18

That is,

x - y = 18 ----------- (2)

Add equations (1) and (2)

x + y + x - y = 56 + 18

2x = 74

∴ x = 74 ÷ 2

x = 37

Substitute the value of x into equation (1) to determine the value of y

x + y = 56

37 + y = 56

y = 56 - 37

y = 19

∴ x = 37 and y = 19

Hence, the numbers are 37 and 19.

Learn more here: https://brainly.com/question/21684141

Can someone please clearly explain and workout Q5? Much appreciated

Answers

We have the formula:
s = ½ (u + v) * t   and we are told
u = 18  v = 14  and t = 100  so, we put those into the formula:

s = ½ (18 + 14) * 100
s = ½ (32) * 100
s = ½ * 3,200
s = 1,600



What is the definition of principal square root in math?

Answers

A square root of a number a is a number y such that y2 = a; in other words, a number y whose square (the result of multiplying the number by itself, or y⋅y) is a.[1] For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16. Every nonnegative real number a has a unique nonnegative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 • 3 = 9 and 3 is nonnegative. The term whose root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this example 9.

Final answer:

The principal square root in math refers to the positive square root of a number. It is denoted as √x and is applicable to non-negative numbers.

Explanation:

The principal square root in math refers to the positive square root of a number. It is denoted as √x, where x is a non-negative number.

For example, the principal square root of 25 is √25 = 5 because 5 multiplied by itself equals 25.

The principal square root is only applicable to non-negative numbers, while negative numbers have no real square roots.

Diane left a 15% tip for a meal that cost $44.
What was the amount of the tip?

Answers

$44 + 15%

$44 + 6.6


= 50.6


and the amount of the tip is $6.6


Answer:

6.60

Step-by-step explanation:

Rewrite the following equation in slope-intercept form. 10x - 5y= -17

Answers

slope-intercept form: y = mx + c

10x - 5y = -17
move 10x to the other side.
- 5y = -10x - 17





Solve the inequality.

q + 12 – 2(q – 22) > 0


q < 56


q > –32


q > 56


q < –32

Answers

Answer:

q<56

Step-by-step explanation:

An inequality is an algebraic expression that consists of two members separated by an inequality. The inequality can be <, ≤,>, ≥.

Solving an inequality consists in finding the value or values ​​that verify it.

An inequality of the first degree is an inequality in which the variable is of degree one, as in this particular case.

In this case, the resolution must first eliminate the parentheses on the left side of the inequality. For that you apply distributive property. This property expresses that the multiplication of a number by a sum is equal to the sum of the multiplications of that number by each of the addends. So you get:

q+12-2*q-2*(-22)>0

q+12-2*q+44>0

Then the terms contained in "q" must be grouped on one side of the inequality and the independent terms on the other. In this case the terms with the variable "q" will remain on the left side of the inequality. The independent terms will be grouped on the right side, remembering that to take them to the other side of the inequality the opposite operations will be used. This is:

the opposite operation of the sum is the subtraction .the opposite operation of subtraction is the sum .the opposite operation of multiplication is division .the opposite operation of the division is multiplication.

So:

q-2q>-12-44

Solving the corresponding addition and subtraction operations you get:

(-1)*q>-56

Since the coefficient that accompanies "q" is negative, it is multiplied by −1 on both sides of the inequality, so the direction of inequality will change.

q<56

Finally, the values ​​for which the inequality is valid are those in which q is less than 56

How has the Customer Service Institute of America helped the banking industry?
A by creating a centralized call center to handle all banking complaints
B by setting standards that help banks measure their level of customer service
C by creating customer service surveys for banks
D by implementing a program for bank executives

Answers

I think B is the answer. It seems the most logical of them. 

Answer:

by setting standards that help banks measure their level of customer service

Step-by-step explanation:

plz plz plz help!!!!!

Answers

The coefficient 6.3 rounds to 6
The coefficient 9.9 rounds to 10

So we go from this
(6.3 x 10^(-2))(9.9 x 10^(-3))
To this
(6 x 10^(-2))(10 x 10^(-3))

Multiply out the coefficients to get 6*10 = 60
Add the exponents to get -2 plus -3 = -5

So we end up with 60 x 10^(-5)

Be careful. This is NOT the final answer. We need to convert this to scientific notation

60 = 6*10 = 6 x 10^1

60 x 10^(-5) = ( 6 ) x 10^(-5)
60 x 10^(-5) = ( 6 x 10^1 ) x 10^(-5)
60 x 10^(-5) =  6 x (10^1 * 10^(-5)
60 x 10^(-5) =  6 x 10^(1+(-5))
60 x 10^(-5) =  6 x 10^(-4)

The final answer is choice A

1. Which ordered pairs are a solution to the equation?

y = 3x - 4

options:

(4,2)


(1, -1)


(-1, -7)


(2, 2)
2.Which ordered pairs are a solution to the equation?

y = 4 - 2x
options:

(-1,2)


(0,4)


(-1,6)


(1,6)

Answers

For the first question the answer is (2,2) and for the second question the answer is (0,4)
Other Questions
Which one of the following statements concerning snacks is correct? A. Sweet fruit isn't a good choice for a snack. B. Children shouldn't snack between meals. C. Soda is more apt to cause caries than a chewy chocolate chip cookie. D. Between-meal snacks are more likely to cause dental caries than regular meals What name was given to the eastern Roman Empire after the Empire split? A. The Turkish Empire B. The Holy Roman Empire C. The Ottoman Empire D. The Byzantine Empire The initial ___________ energy is equal to zero because the starting point is set at zero height to make things easier. kinetic potential How does Jack Londons essay The Human Drift" compare to other naturalist literary works, such as Stephen Cranes short story The Open Boat"? Charlie graphs the equation y=1/2x+2 . Select all statements about Charlie's graph that are true. The graph is a straight line. The line does not pass through the origin. The line passes through the point (0,2) . The slope of the line is 12 . The y-intercept of the line is 2. Suppose a kite has diagonals of 10 and 20. Find the perimeter of the quadrilateral formedby joining the midpoints of the kites sides. An auto worker in ohio who loses her job because the company relocated the plant to another country represents an example ofa. structural unemployment. In general, ai + bi = Which event leading to the American revolution resulted in five americans dying , including an African-American sailor named crispus attucks 15 children voted for their favorite color. The votes for red and blue together we're double the votes for green and yellow together. How did the children vote? Which of the following phrases might a Republican congressman have used to describe President Johnson's Reconstruction plans?a.difficult to accomplishb.well-balancedc.too lenientd.very harsh Just a random question that popped into my head... Who was the guy who warned the people (the ones who settled in the USA) that the Brittish are coming? Which of the following techniques can be used to separate a homogeneous mixture into its component parts? Sort by color Sort by size Separation by density Use magnetism Which element is a best practice for giving a presentation?A. You need not speak; your slideshow can do all the talkingB. Your slideshow is the star of your presentation; you should speak about only whats in the slideshowC. Your speech is the star of your presentation; design your slideshow to support your speechD. You are the star of the presentation; how you're dressed for the occasion will have the most impact on its success what is the answer to this problem Convert 2 3/25 as a decimal/ Mrs. Milleman looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. A Realtor earns a 3.25% commission on the sale of each house. How much did a house sell for if Realtor earned 10,566.40 The most common discipline technique for a child's misbehavior that north american parents use with preschool children is: What would happen if there was an imbalance of certain enzymes in the body? The body would have trouble digesting certain foods. The enzymes that are present would work twice as fast. The body would make new enzymes to take the place of missing ones. The body would have too much energy for cells to work properly. Steam Workshop Downloader