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3 years ago

Which of the following matches a quadrilateral with the listed characteristics below ?

Mathematics

2 answers:

Sedbober [7]3 years ago

6 0

Answer:

D) Square

Step-by-step explanation:

We can start with the process of elimination.

Trapezoids don't have four right angles- can't be that. Neither do parallelograms.

So, we're just left with seeing whether rectangles have congruent sides- essentially, whether their sides are all the same shape or not.

Well, rectangles aren't always congruent. When you think of rectangle, usually, something with two long lines and two shorter lines comes to mind.

That leaves us with square.

Alex73 [517]3 years ago

5 0

Answer:

square

Step-by-step explanation:

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The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be i

Nata [24]

Answer:

tence there will be 6,00 insects abter 8 weeks.

Step-by-step explanation:

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2 years ago

Based on the image and stated scale, what is the value of y?

GenaCL600 [577]

Answer:

2.2 inches

Step-by-step explanation:

This is because of the stated scale rate. 1/5 is equal to 20% with that 20% of 11 inches would yield 2.2 inches hope this helps :)

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3 years ago

A ribbon is 12 3/8 feet long.Into how many 3/4-foot pieces can it be cut?

seraphim [82]

12 3/8 ÷ 3/4

change the mixed fraction to improper....

99 3
__ ÷ __
8 4

now change the sign to a multiplication sign and flip 3/4.

99 4 396
__× __= _____
8 3 24

396/24..... that changes to 16 22/24. Simplify it and it will be 16 11/12.

6 0

4 years ago

Which expression is equivalent to *picture attached*

DiKsa [7]

Answer:

The correct option is;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$

Step-by-step explanation:

The given expression is presented as follows;

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )$

Which can be expanded into the following form;

$\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n$

From which we have;

$\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}$

$\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}$

Therefore, substituting the value of n = 50 we have;

$\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}$

$\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}$

Which gives;

$4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}$

$3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}$

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}$

Therefore, we have;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$ .

4 0

3 years ago

"All parallelograms have two pairs of parallel sides. All rectangles are parallelograms with four right angles. All squares are

Lorico [155]

A. Yes, since a square is a type of rectangle, but it has four congruent and parallel side.
B. Yes, since a square is also a type of parallelogram. Therefore it has 2 pairs of parallel sides.
C. No, they have 2 pairs of congruent sides.
Hope this helps :D

4 0

3 years ago

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