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3 years ago

Which choice does NOT describe a parallelogram?

Mathematics

2 answers:

weeeeeb [17]3 years ago

7 0

Answer: B. A quadrilateral that has diagonals that do not bisect each other.

Step-by-step explanation:

A parallelogram is a quadrilateral whose opposite sides are equal or congruent and parallel. Also, the opposite sides in parallelogram are equal or congruent and the sum of two adjacent angles is 180 degrees.The diagonals of parallelogram bisect each other.

Therefore by the properties of parallelogram the choice that does NOT describe a parallelogram is " <em>A quadrilateral that has diagonals that do not bisect each other</em>.".

andreev551 [17]3 years ago

4 0

The diagonals cannot both bisect and NOT bisect so we know it is either A or B.
It is in fact true that the diagonals of a parallelogram bisect each other.
LETTER B is false.

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How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

What is the measure of

posledela

The triangle is isosceles so m∠A and m∠C are the same.

So to find ∠B, we do 74 + 74 + b = 180

148 + b = 180
b = 180 - 148
b = 32

Answer B is the right choice.

3 0

3 years ago

Seriously I haves to do this again pls answer for real

Sveta_85 [38]

Answer
1/15
Step by step explanation
Add all numbers up and then divide the number of newspapers by the total numbers added up and simplify

6 0

3 years ago

The distance from Charles’s house to his school is 3 miles. His father gave him a ride for 1,760 yards, and he walked the rest o

slamgirl [31]

The answer is 2 miles or 3520 yards. (they are the same answer.)

If this helps, can you give me the brainliest answer? I need it...

Thank you very much.

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4 years ago

Read 2 more answers

Sierra buys lunch in the cafeteria everyday. Lunch costs $2.00 each day, how much did she spend after 5 days.

Tcecarenko [31]

Answer:

$2.00 each day so $2.00 x 5 = $10

4 0

2 years ago