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Kamila [148]
3 years ago
7

Select the statement that best justifies the conclusion based on the given information. Conclusion: l1 and l 2 intersect only at

point P. A line contains at least two points. Through any two different points, exactly one line exists. If two lines intersect, then their intersection is exactly one point. If two lines intersect, then exactly one plane contains both lines.
Mathematics
2 answers:
Damm [24]3 years ago
7 0

Answer:

If two lines intersect, then their intersection is exactly one point.

Step-by-step explanation:

Gwar [14]3 years ago
3 0
Answer:
<span>If two lines intersect, then their intersection is exactly one point

Explanation:
Let's take a look at the choices:
Choice A: </span><span>A line contains at least two points.
The statement is true. However, it is not related to intersection between lines. Therefore, this choice is wrong

Choice B: </span><span>Through any two different points, exactly one line exists
This postulate is true. However, it does not relate directly to the intersection between lines. Therefore, this choice is wrong

Choice C: </span><span>If two lines intersect, then their intersection is exactly one point.
This statement is known as theorem 1-1. It describes the intersection between two lines.
Therefore, this statement is correct.

Choice D: </span><span>If two lines intersect, then exactly one plane contains both lines.
The conclusion given is related to points created due to intersection between lines. This option is therefore excluded as it describes planes. 

Hope this helps :)</span>
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Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp
ycow [4]

Answer:  The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Number of boys added: 18 </em>
  • <em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18  

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0
3 years ago
Formula for pi. What does pi equal
RSB [31]

Answer:

3.149

Step-by-step explanation:

that is just the number pi never ends but in most math classes 3.149 is all yoi need

6 0
2 years ago
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kiruha [24]

Answer:

5 thirds

Step-by-step explanation:

Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0

Therefore, 5x1/3=5/3=1 2/3

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Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restric
icang [17]
I hope this helps you

7 0
3 years ago
Identify the area of segment MNO to the nearest hundredth. HELP PLEASE!! I don't understand it!
katrin2010 [14]

Answer:

  13.98 in²

Step-by-step explanation:

I don't understand it, either.

Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.

__

The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.

The area of a segment is given by the formula ...

  A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.

Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...

  A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²

Rounded to hundredths, this is ...

  ≈ 13.98 in²

3 0
3 years ago
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