Decide which ONE of the following statements is FALSE.

A) A line contains at least two points
B) Three non-colinear points determine a plane
C) Through any two distinct points there exists exactly one line
D) Any three points lie on a distinct line

Answers

Answer 1

True or False.

A is true, a line has two points which are the two ends.

Answer 2

Answer: Choice D

Any three points lie on a distinct line

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

Explanation:

Let's go through each statement to see which are true, and which are false.

A) True. A line is uniquely defined by two points. In other words, you need 2 points to form a line.B) True. A plane is a flat surface, such as a table top or a piece of paper. The paper is not allowed to bend or curve. The three points cannot all fall on the same line, hence the "non-colinear" condition put in there. If the 3 points were colinear, then infinitely many planes would go through those points. So we make them non-colinear so a unique single plane can be defined. C) True. See choice A above.D) False. While two points form a single line, that third point may or may not be on that line. If the three points form a single line, then we consider the points colinear. If the points don't all fall on the same line, then we say they are non-colinear. For non-colinear points, a triangle forms. If choice D said "any three colinear points lie on a distinct line", then that statement would be true.

Side note: The spelling of "colinear" is sometimes "collinear" with two "L"s, instead of one. I'm not 100% sure which spelling is more acceptable. I've found sources that have used both.


Related Questions

12 pints 3 cups = ? cups *

Answers

Answer:15

Step-by-step explanation:

Answer:

7.5

hope this helps

have a good day :)

Step-by-step explanation:

A letter to Europe from the United States cost $.94 to mail. A letter mailed within the United States cost $.44. Nancy mailed five letters for $3.70, some to Europe and some to the United States. How many letters did she send to Europe. Explain.

Answers

Answer:

3

Step-by-step explanation: i used my calculator

Express 315 as a percentage of 420​

Answers

Step 1: Multiply the number being expressed to 100
315: 420 • 100 = 75

Step 2: Multiply the expresser to 100
(315 • 100): 420 = 31500

Step 3: Divide the result by the number being expressed
31500/420 = 75

75 is the answer

A b or c or d??? Who did it

Answers

Answer:

is C maybe

Step-by-step explanation:

don't really know just picked

TAnswer: it should be A

Step-by-step explanation:

Which set of ordered pairs is a function? {(1,1),(2, 2), (3, 3), (4,4), (5,5)} {(0,0),(1,1),(1, -1),(4,2),(4, -2)} {(2,1),(2,2).(2,3),(2,4),(2,5)} {(1,5).(2.4),(3,3).(2, 2), (1,1)​

Answers

[tex] \underline{ \underline{ \large{ \red{ \tt{✧ E\: X \: P \: L \: A \: N \: A \: T\: I \:O\: N}}}}} : [/tex]

❀ Here, We are given relation from A to B [ Suppose ] & We have to identify whether they are function or not from the relation A to B.

{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 )}

⇢ This is a function from A to B because every element of Set A has unique image in set B.

{( 0,0 ) , ( 1 , 1 ) , ( 1 , -1 ) , ( 4 , 2 ) , ( 4 , -2 ) }

⇢ This is not a function because two of the elements of Set A ( 1 & 4 ) are associated to elements -1 , 1 & 2 , -2 respectively of Set B

{ ( 2 , 1 ) , (2 , 2 ) , (2 , 3 ) , (2 , 4 ) , (2 , 5 )

⇢ This is not a function because the element of Set A ( 2 ) is associated to all the elements of Set B.

{ ( 1 , 5 ) , ( 2 , 4 ) , ( 3 , 3 ) , (2 , 2 ) , ( 1 , 1 )

⇢ This is not a function because the elements of Set A ( 1 & 2 ) are associated to elements ( 5 , 1 & 4 , 2 ) of Set B respectively.

[tex] \boxed{ \boxed{ \large{ \purple{ \tt{A \: N \: S \: W \: E \: R: \{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 ) \} }}}}}[/tex]

♨ Q. What is function ? How can we identify whether the given relation is a function ?

⟶Function is a special type of relation. Function is the refinement of relation. In a relation from A to B , every element of Set A has only one ( distinct ) image in B. In other words , if no two different ordered pairs have the same first component , then it is a function.

# STUDY TIP :

♕ Have a hard time memorising ?

Read it 10 times Say it 10 times Write it 2 times

ツ Hope I helped! ♡

✎ Let me know if you have any questions!

[tex] ♪ \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning ☄}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Nine times nineteen

Answers

Answer:

171

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

9 × 19 = 171

Hope this helps, thank you :) !!

The diameter of a circular mirror is 20 inches what is the area of the mirror? use 3.14?​

Answers

Answer:

20/2 = 10

10 squared is 100 (10 x 10)

100 x (pi) = 314.159265359

But if we were to use 3.14 it would be 314

Answer plz I will make first correct answer brainleist

Answers

Answer:

18

Step-by-step explanation:

Melody's dad brought home a crate of apples he picked from their orchards. The crate contained 10 Granny Smiths, 14 Red Delicious, and 4 Golden Delicious. After replacing the first apple, she took out a second apple. What is the probability of picking a Golden Delicious and then a Granny Smith?​

Answers

i need the answer options

Step-by-step explanation:

Find the volume of the sphere need help

Answers

Answer:

36pi

Step-by-step explanation:

volume = (4/3) · π · r3

in this case r = 3

4/3 x pi x r^3

3 cubed = 27

27 x pi x 4/3

27 x 4/3 = 36

36[tex]\pi[/tex] is the answer

ONE HUNDRED POINTS PLEASE BE HONEST.

Answers

Answer:

12.207

Step-by-step explanation:

a^2 + b^2 = c^2

a and b are legs of the right triangle, c is the hypotenuse.

The hypotenuse squared is equal to the square root of (7^2 + 10^2).

The square root of 149 is around 12.207.

You cannot simplify the square root of 149 so if the question wants it in radical form just input square root of 149.

In AKLM, m = 7.4 cm, l = 5.2 cm and angle L=28^ . Find all possible values of angle M to the nearest of a degree .

Answers

Answer:

Step-by-step explanation:

42


Find the real roots of the equation
8/x^4 + 5/x^2 = 3

Answers

What are the real roots of the equation 8/x^4 + 5/x^2 = 3?

Solution: 8/x^4 + 5/x^2 = 3 …(1)

Let m = 1/x^2 so that (1) becomes

8m^2+5m–3 = 0

(8m-3)(m+1) = 0

So m = 3/8 or -1.

Discard m = -1 and we are left with m = 3/8 or x = 8/3

x = ±√(3/8). Answer.

Check: 8/x^4 + 5/x^2 = 3

LHS = 8*(√(8/3))^4 + 5*(√(8/3))^2

= 8*3*3/(8*8) + 5*3/8

= 9/8 + 15/8

= 24/8 = 3 = RHS. Correct

Which set of side lengths can be used to construct a triangle?
А
55 inches, 110 inches, 45 inches
B
45 inches, 45 inches, 90 inches
C
100 inches, 45 inches, 35 inches
D
75 inches, 55 inches, 45 inches

Answers

9514 1404 393

Answer:

  D  75 inches, 55 inches, 45 inches

Step-by-step explanation:

The sum of the two shortest sides must exceed the length of the longest side. This is only the case for choice D.

  A. 45+55 < 110

  B. 45+45 = 90 . . . . needs to be greater, not equal

  C. 35+45 < 100

  D. 45+55 > 75 . . . . will form an obtuse triangle

explanation please I need to know how you got the answer thank you!

Sharon is painting her house. she needs 5
gallons of brown paint for every 7 gallons of white paint.  How many gallons of white paint does she need if she already bought 14 gallons of brown paint?
A. 10 gallons
B. 19.6 gallons
C. 16 gallons
D. 25 gallons​

Answers

Answer:

19.6, B

Step-by-step explanation:

To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.

We are given this equation.

5 gallons of brown paint = 7 gallons of white paint

Divide both sides by 5.

1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint

Now, using this, substitute 14 into the left side.

14 gallons of brown paint = 1.4 * 14 gallons of white paint

14 gallons of brown paint = 19.6 gallons of white paint

Thus, the answer is B, 19.6 gallons

Pls get this right I give brainliest

Answers

Answer:

5/8 - 6/8, which is the second option

Step-by-step explanation:

Answer:

5/8- 6/8

Step-by-step explanation:

What is the mode of the following? 5, 13, 13, 3, 5, 9, 13, 5, 5, 6

Answers

The mode is 13 because it Appears the most

Find the measure of the indicated angle x

Answers

Answer:

36°

Step-by-step explanation:

all the interior angles of a triangle add up to 180°

78 + 66 = 144

180 - 144 = 36°

Answer:

sum of all the sides of a triangle= 180° 78°+66°+x = 180° x = 180° - (78° + 66°) = 180° - 144° = 36° x = 36°Ans. = the value of x is 36°.

Find the value of x. 64 x

Answers

Answer:

the value of x is 116

Step-by-step explanation:

180-64=116

How many classes would Gina need to take for the total cost to be the same at both dance studios

Answers

Answer:

How many classes is Gina taking?

Answer:

10

Step-by-step explanation:

right on edge

Indicate in standard form the equation of the line passing through the given point and having the given slope.
A(5,5), m=3

Answers

Answer:

-4,0  -4,0

Step-by-step explanation:

-4,0  -4,0

Write
0.0000000212
in scientific notation.

Answers

Answer:

0.12 · [tex]10^{-8}[/tex]

Step-by-step explanation:

0.0000000012

0.12 · [tex]10^{-8}[/tex]

AB ≅ CD

DB ≅ DC

BC ≅ AD

CB ≅ AB

Answers

Answer and Step-by-step explanation:

The answer would be

CB ≅ AB

Because these parts of the shape match up and are proven congruent by CPCTC. And, if you were to look at the other pairs of sides given as answer choices, they don't look nearly the same.

#teamtrees #PAW (Plant And Water)

A math teacher at George Washington Middle School asked boys in the 6th and 7th grades to report their shoe size. She used the results to create these histograms

Which conclusion best supported by the histograms?
A as boys get older, shoe sizes become more normally distributed with fewer large outliers.
B As boys get older, shoe size range, defined by the minimum and maximum, decreases
C As boys get older, shoe sizes increase and the distribution remains relatively unchanged.
D As boys get older, shoe size distribution becomes more spread with more large outliers

Answers

Answer:

As boys gets older, shoe sizes becomes more normally distributed with fewer large outliers.

Step-by-step explanation:

A visual analysi ls of the histogram distribution provided, we can observe that size distribution of 6 graders is positively skewed (right tailed) as outliers seems more to the right(large sizes). However, the second graph is balanced with a normal or symmetric distribution representing older age (7th graders). Hence, we can conclude that as the boys gets older, they attain normality in terms of their shoe sizes. And the outliers which are characterized by the first histogram having vanished or reduced.

What is the value of k?

Answers

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The useful shortcut* here is that the external angle is equal to the sum of the remote internal angles.

  115° = (4k+5)° +(6k+10)°

  100° = 10k° . . . . . . collect terms, subtract 15°

  k = 10 . . . . . . . . . . divide by 10°

_____

* I call it a shortcut because you can get there from the relations ...

the sum of angles in a triangle is 180°a linear pair has a sum of 180°

If we call the internal angles X, Y, and Z, then we have ...

  X + Y + Z = 180° . . .  triangle sum relation

  Y + 115° = 180° . . . . . linear pair relation

Equating the expressions for 180° gives ...

  X + Y + Z = Y + 115°

  X + Z = 115° . . . . . . . . . subtract Y from both sides

Please help me with this! No links or files please. I'm using a school computer and it doesn't allow it.

Answers

Answer:

The location of (-2.5, 2) on the coordinate plane is one block left of -2 and 2 boxes up.

Step-by-step explanation:

Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now

Answers

Answer:

9

Step-by-step explanation:

if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*

Help plsssssssssss I’d really appreciate it

Answers

Answer:

The answer is the second one. "The distance decreases at a constant rate for the entire time"

Step-by-step explanation:

Whats the answer to this???

Answers

Answer:

A: 2/5

B: -0.2

C: -4/5

3.
Write the equation of the line best fit

Answers

Answer:

i dont quite have a answer i just need points sorry good luck tho .

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