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djverab [1.8K]
3 years ago
8

Students in Ms. Bell’s geometry class created posters of geometric definitions. Which of the following is the most precise defin

ition?
A. Parallel lines are lines that do not intersect.

B. A line segment is part of a line that has an endpoint.

C. Perpendicular lines are lines that intersect at a right angle.

D. An angle is formed by two lines, two segments or two rays in one plane.
Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

C

Step-by-step explanation:

D is missing 2 ideas.

  • An angle can be formed by a mixture of the types of figures quoted.
  • An angle has common or shared endpoint.

B: to me is unclear. A line does not have an endpoint. A ray does.

A: you need to mention that the lines are coplanar.

I think, brief though it is, C is the most complete and at the same time simplest choice.

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Answer:

The common ratio is \frac{1}{4}

The next term in the sequence is 2

Step-by-step explanation:

In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:

common ratio r=\frac{a_{n+1}}{a_n}

This quotient should be true for any two consecutive terms in the sequence.

so using the first two terms, we find:

r=\frac{a_{n+1}}{a_n}=\frac{a_{2}}{a1}=\frac{128}{512} =\frac{1}{4}

You can test that this common ratio is true for all other terms listed:

\frac{a_3}{a_2} =\frac{32}{128} =\frac{1}{4} \\\frac{a_4}{a_3} =\frac{8}{32} =\frac{1}{4} \\

So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:

a_5=8*\frac{1}{4} =2

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Step-by-step explanation:

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