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).
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is an geometric series, the details of the series are:
a₁ = 150
r = 60/150 = 0.4
n = 7
The sum of the geometric series is,
S = 150(1-0.4⁶)/(1-0.4)
S = 248.976 ≈ 249
Hence, the sum of the first seven terms of the series is 249.
Learn more about Geometrical Series:
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Answer:
uv - 10u
Step-by-step explanation:
To distribute a problem, you have to multiply what is on the outside of the parenthesis with what is on the inside.
u · v = uv
u · -10 = -10u
Combined, u(v - 10) = uv - 10u.
The answers 2
because you replace n with 7
Answer:
100
Step-by-step explanation:
add all the number together 3 + 4 + 2 +1=10
250/10=25
then times 25 with the 4 number at the top
25 times 4 =100
so there is 100 blue pencils
