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3 years ago

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:

$a_n=a_1*r^{n-1}$

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

6 0

3 years ago

BRAINLYEST UPON RIGHT ANSWER AND 100 POINTS. This will test your knowledge.

sertanlavr [38]

Pi is an endless number so it can be anything
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3 years ago

Read 2 more answers

Sarah wrote a number 13285. Caryn wrote a 5-digit number that only has one 3 in it. The 3 in Caryn's number is worth 10 times as

vampirchik [111]

Sarah's number: 13285
The digit '3' in Sarah's number worth = 3000

The digit '3' in Caryn's number is worth 10 times the digit '3' in Sarah's number: it's worth 10 × 1000 = 10000

Caryn wrote 5 digit number, and this number only have one digit '3'

Caryn's number could be:

35642
321547
30789

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4 years ago

How do you find this and explain how you got the answer.

lesantik [10]

Answer:

you have to make sure you did all the step use the cross products method I think sorry if I am wrong

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3 years ago

Find the standard decimal form of: 3 x 1 + 3 x 0.1

natka813 [3]

Your answer is 3.3 if you need help on how to figure the equation out you can always search it on yt

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4 years ago