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Tomtit [17]
3 years ago
6

Geometry If FG || BC , which equation is necessarily true?

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Answer:

hi! id say your answer should be B. DF/FB=EG/GC

Step-by-step explanation:

Your question was if FB is parallel to BC, what must be true? A. and C. are not necessarily connected to FB and BC and do not prove that those two lines are parallel. while B. DF/FB = EG/GC does prove that they are parallel because the lines mentioned in the question, FG and BC, are attatched by the lines that are provided by answer B. I hope this helps!

hammer [34]3 years ago
6 0
B is the answer because If you look at the other side essentials that
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Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

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The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

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Step-by-step explanation:

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Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

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The sum of interior angle of the triangle is equal to exterior

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Given

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m∠DAB = 70 + 50

m∠DAB = 120 degrees

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