1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
butalik [34]
3 years ago
10

Abigail wrote the statements shown in the chart. . Statement. Description. . 1. If two lines intersect, then exactly one plane c

ontains both lines.. . 2. If a point lies outside a line, then exactly one plane contains both the line and the point.. . . Which option best classifies Abigail’s statements? . A) Statement 1 and Statement 2 are postulates because they are true facts. B) Statement 1 and Statement 2 are theorems because they can be proved with the help of appropriate postulates. C) Statement 1 is a theorem because it can be proved and Statement 2 is a postulate because it can be proved
Mathematics
2 answers:
nata0808 [166]3 years ago
7 0
Out of the choices given, the option that best classifies Abigail's statements is they are both theorems because they can be proved with the help of appropriate postulates. The correct answer is B. 
Lilit [14]3 years ago
4 0

The <u>correct answer</u> is:


B) Statement 1 and Statement 2 are theorems because they can be proved with the help of appropriate postulates.


Explanation:


<u>Statement 1</u> is the Line Intersection Theorem. To prove this, we use postulates about having only one plane passing through any 3 noncollinear points. We would choose two points from one line and one point from the second; they would be non-collinear points and be in one plane. This also works choosing the points the opposite way.


<u>Statement 2</u> is the Point and Line Contained in Plane Theorem. Again, if two lines intersect, we can choose three points to define a plane. We have to prove that both lines are in the plane. We rely on previously proven postulates to do this.

You might be interested in
Help please don’t get it help!!!!!!!
Scorpion4ik [409]

Answer:

  10,542,719

Step-by-step explanation:

The circle chart shows you that an estimated 49% of Australia's population has type O blood. Then the number expected to have type O blood is ...

  0.49 × 21,515,754 ≈ 10,542,719

_____

You can choose the correct answer by recognizing that 49% is very slightly less than 1/2, so the number with type O blood will be very slightly less than half of 21 million -- about 10.5 million.

8 0
3 years ago
Which of the following is an infinite series?
Brut [27]
<h3>Answer: Choice C)  2 - 6 + 18 - 54 + ...</h3>

Explanation:

The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.

Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.

4 0
3 years ago
An image of a rectangular prism is shown below: A right rectangular prism is shown. Part A: A cross section of the prism is cut
Murrr4er [49]

Answer:

  • See below

Step-by-step explanation:

<h3>Part A</h3>
  • The base is a rectangle hence the parallel cut produces the same shape.
<h3>Part B</h3>
  • The cut diagonal to base will produce rectangle as the cross section still  contains two pairs of parallel lines
8 0
3 years ago
Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the
german

Answer:

Unknown

Step-by-step explanation:

What is the question? You have the information listed but you forgot to ask the question.

4 0
2 years ago
JUST DO 6 and 22 pleasss!!!
Hatshy [7]

Answer:

Step-by-step explanation:

x=intercept is when the line intersect with the x axis when y=0

6: x intercept (1,0)

y intercept is when the line intersect with y axis at certain point or when x=0

y intercept (0.-24)

22: (8,0) x intercept

(0 , 4) the y-intercept

8 0
4 years ago
Other questions:
  • Hannah opened her bag of Reese's pieces.
    6·2 answers
  • How do you prove that AM=1/2AB if what is given is M is the midpoint of line AB? 7 steps.
    8·1 answer
  • Find the equation of the line perpendicular to the<br> given line through the point (1,9). y=1/3x+5
    9·2 answers
  • Given the function, f(x)=/x-2+3, choose the correct transformation.
    10·2 answers
  • 1. A weather forecaster says that the temperature is changing at a rate of -8° per hour. At this rate, how long will it take for
    6·1 answer
  • $1,500 at 2.9% interest for 18 months<br> What is the interest?<br><br> What is the new balance?
    12·2 answers
  • Graph the linear equation y=2x-1.
    5·1 answer
  • Helppppppppppppppppppppppppppppppppppppppppppp
    12·1 answer
  • 40 Points!!! Please do the questions in attached image!
    12·1 answer
  • If you drive at 110 km/hr for 5 hours, how far will you go?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!