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sesenic [268]
3 years ago
14

In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?

Mathematics
2 answers:
icang [17]3 years ago
6 0

Answer:

B. AC ≅ BD

Step-by-step explanation:

Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel).

sergiy2304 [10]3 years ago
5 0

The answer is B AC ≅ BD Since you already know that ab ll cd, all you need to know is that ac is bd

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Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....
MA_775_DIABLO [31]

Answer:

a_n=112\left(-\frac{1}{4}\right)^{n-1}

Step-by-step explanation:

<u>Geometric Sequences</u>

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

\displaystyle r=\frac{-28}{112}=-\frac{1}{4}

Testing with the third term:

\displaystyle -28*-\frac{1}{4}=7

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

a_n=a_1*r^{n-1}

a_n=112\left(-\frac{1}{4}\right)^{n-1}

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sertanlavr [38]
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vampirchik [111]
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The digit '3' in Caryn's number is worth 10 times the digit '3' in Sarah's number: it's worth 10 × 1000 = 10000

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4 years ago
How do you find this and explain how you got the answer.
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Answer:

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