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Answer:
○ b.
Step-by-step explanation:
Since <em>DF</em><em> </em>is a segment bisector, set both expressions equal to each other:
3n - 4 = n + 8
-3n - 3n
__________
−4 = −2n + 8
-8 - 8
_________
−12 = −2n
__ ___
−2 −2
[Plug this back into both expressions above to get the value of 14];
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1) ,
(given)
2) (reflexive property)
3) (SAS)
4) (CPCTC)
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).
