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2 years ago

Polygons are a subcategory of parallograms

Mathematics

1 answer:

dolphi86 [110]2 years ago

8 0

Answer:

Step-by-step explanation:

Category:Parallelograms. ... A parallelogram is a quadrilateral whose opposite sides are parallel to each other, and whose sides may or may not all be the same length.

We know many quadrilaterals by their special shapes and properties, like squares. Remember, if you see the word quadrilateral, it does not necessarily mean a figure with special properties like a square or rectangle! In word problems, be careful not to assume that a quadrilateral has parallel sides or equal sides unless that is stated.

Special Quadrilaterals

A parallelogram has two parallel pairs of opposite sides.

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram.

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.

Trapezoids only have one pair of parallel sides. It's a type of quadrilateral that is not a parallelogram. (British name: Trapezium)

Kites have two pairs of adjacent sides that are equal.

We can use a Venn diagram to help us group the types of quadrilaterals.

A Venn diagram uses overlapping circles to show relationships between groups of objects. All "quadrilaterals" can be separated into three sub-groups: general quadrilaterals, parallelograms and trapezoids.

Is a rectangle always a rhombus? No, because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.

We can put squares in the intersection of the two circles.

From this diagram, you can see that a square is a quadrilateral, a parallelogram, a rectangle, and a rhombus!

Is a trapezoid a parallelogram? No, because a trapezoid has only one pair of parallel sides. That is why we must show the set of trapezoids in a separate circle on the Venn diagram.

What about kites? Kites are quadrilaterals that can be parallelograms. If their two pairs of sides are equal, it becomes a rhombus, and if their angles are equal, it becomes a square.

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In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they don’t enjoy either pet

maw [93]

Answer: probability = 0.506

Step-by-step explanation:

The data we have is:

Total people: 205 + 160 + 40 = 405

prefer cats: 205

prefer dogs: 160

neither: 40

The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:

p = 205/405 = 0.506

in percent form, this is 50.6%

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2 years ago

HIJK is a parallelogram because the midpoint of both diagonals is ____ which means the diagonals bisect each other.

just olya [345]

ANSWER

The midpoint of both diagonals is

$(1,0)$
EXPLANATION

We can use either diagonals to determine the midpoint.

We use the midpoint formula

$( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )$

Let us use the first diagonals H(-2,2) and J(4,-2)

$( \frac{ - 2 + 4}{2} , \frac{ - 2+ 2}{2} )$

$( \frac{ 2}{2} , \frac{ 0}{2} )$

$( 1, 0)$

Using the second diagonals also gives,

$( \frac{ - 2 + 4}{2} , \frac{ - 3+ 3}{2} )$

$( \frac{ 2}{2} , \frac{ 0}{2} )$

$( 1, 0)$

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2 years ago

Read 2 more answers

15) Bob has 12 black pen, 14 red pen, 15 green pens, 24 blue pens and 3 boxes of

cricket20 [7]

Answer:

13, 16, 18

Step-by-step explanation:

Sabemos que podemos calcular el total de plumas amarillos, por medio de la media.

16 = (12 + 14 + 15 + 24 + x + y + z) / 7

16 * 7 = 12 + 14 + 15 + 24 + x + y + z

112 = 65 + x + y + z

x + y + z = 112-65

x + y + z = 47

sabemos que la mediana es el valor medio, y que ese 46 debe dividirse entre 3 valores porque son 3 cajas, entonces debemos buscar los números adecuados para el valor 15 esté en la mitad, es decir de cuarto.

Sin meter los valores nuevos, el ranking sería así:

el 15 esta de tercero, para que quede de cuarto, debe tener dos valores por debajo y un por arriba, así:

Por lo tanto, valores mayores a 15 serían por ejemplo y = 16 y z = 18:

16 + 18 = 34

x = 47-34 = 13

quedaría:

dieciséis

18 años

Si recalculamos la media:

m = (12 + 14 + 15 + 24 + 13 + 16 + 18) / 7 = 16

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2 years ago

Ari mixed 2 1/4 cups of red grapes with 1/2 cups of green grapes. He then divided the grapes into bags with 3/4 cup of mixed gra

Oxana [17]

To start, our equation will look like this:

(2 1/4 + 1/2)/ 3/4 = b

To make it easier convert the 2 numbers inside the parentheses into improper fractions, and then multiply them by their least common denominator to add.

(9/4 + 1/2)

(18/8 + 4/8)

(22/8)/ 3/4 = b

Now, to divide 22/8 cups of grapes into bags with 3/4 cup of grapes, multiply 22/8 by 4/3.

(22/8)(4/3)=b

3 2/3 = b

So, if Ari has a bag with 2 1/4 cups of red grapes and 1/2 cup of green grapes, and he divides it into bags with 3/4 cup each, he will have about 3 full bags.

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2 years ago

Read 2 more answers

Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33, Mean= Median= Range= interquartile range= I

Tresset [83]

Answer:

Mean=23

Median =23.5

Range=22

Interquartile range = 14

Step-by-step explanation:

Given set of data