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jasenka [17]
3 years ago
13

Which of the following statements best describes the relationship between a line and a point in a plane? exactly one plane conta

ins a given line and a point on the line. exactly one plane contains a given line and a point not on the line. exactly one plane contains a given line not in the plane and a point not on the line. exactly one plane contains a given line not in the plane and a point on the line.

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

Answer: (b) exactly one plane contains a given line and a point not on the line.


Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).


serious [3.7K]3 years ago
7 0
The correct answer of the given question above about the relationship between a line and a point in a plane is the second option. The statement that best describes the relationship between a line and a point in a plane is that, t<span>here is exactly one plane containing a given line and a point not on the line. Hope this answer helps.</span>
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A study claims that the mean age of online dating service users is 40 years. Some researchers think this is not accurate and wan
Mademuasel [1]

Answer: H_0:\mu=40

H_0:\neq40

Step-by-step explanation:

  • A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
  • An alternative hypothesis says that there is a statistical significance  between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. \mu=40, since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

\mu\neq40

⇒ Null Hypothesis : H_0:\mu=40

Alternative hypothesis : H_0:\neq40

5 0
3 years ago
Explain your answer, please
Molodets [167]

.1.Scale Factor of Triangle STU to Triangle PQR= 1.5

2.Scale Factor of Trapezoid EFGH to Trapezoid JKLM =2

3. about 90 armadillo

1.Side ST: 15 ÷ Side PQ: 10 = 1.5

2.Side JM: 14 ÷Side EH: 7 = 2

3.843/7=120.428571429

843/4=210.75

210.75-120.428571429=90.321428571

This rounds to 90 armadillo

Hope this helps :3 ❤

8 0
3 years ago
Read 2 more answers
Simplify <br> 2/5(a+b)+3/5(a+c)
Sergeu [11.5K]
Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)

2/5 a+ 2/5 b+3/5 a+ 3/5 c

combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a

new simplified equation:
a+2/5 b+3/5 c
3 0
4 years ago
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2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t
Olenka [21]

Answer:

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

Step-by-step explanation:

First, note that

\frac{\partial x}{\partial t}  = e^{t} \\\frac{\partial y}{\partial t}  = cos(t)\\

And using the chain rule in one variable

\frac{\partial z}{\partial t}  = -3sin(3t)

Now remember that the chain rule in several variables sates that

\frac{\partial w}{\partial t}  = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}

Therefore the chain rule in several variables would look like this.

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

6 0
4 years ago
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lesya [120]
The answer is  C. x<span> ≤ </span>3
6 0
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