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3 years ago

Explain why parallelograms are always

1 answer:

6 0

Answer: Parallelogram is a kind of quadrilateral where as there are some quadrilaterals (like trapezoid , kite, .. ) that do not satisfy the properties of parallelograms.

Step-by-step explanation:

A quadrilateral is a closed polygon having fours sides.

A parallelogram is a kind of quadrilateral having following properties:

Its opposite sides and opposite angles are equal.

The sum of adjacent angles is 180°.

The diagonal of parallelogram bisect each other.

A Trapezoid is also a quadrilateral . It has only one pair of parallel sides. (The other one are not parallel).

So , all quadrilaterals not parallelograms.

Therefore, parallelograms are always quadrilaterals but quadrilaterals are sometimes parallelograms because parallelogram is a kind of quadrilateral where as there are some quadrilaterals (trapezoid , kite, .. ) ) that do not satisfy the properties of parallelograms.

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how far from the base of a building must the bottom of a 15 foot ladder sit for it to make a 52 angle with the ground

Morgarella [4.7K]

Answer:

9.23 ft

Step-by-step explanation:

Right triangle = cos 52 degrees = adjacent side/hypotenuse

Cos (52 degrees) = 0.615661

0.615661 = x/15

(0.615661)*(15) = x

x = 9.23 ft

4 0

3 years ago

The circumference of a circle is 7π m. What is the area of the circle? 3. 5π m² 12. 25π m² 14π m² 49π m².

Juliette [100K]

Area of the circle is the area covered by that circle. The area of the circle whose circumference is 7π m is 12.25π m².

<h3>What is the area of a circle?</h3>

The area of the circle is the area covered by that circle. It is given by the formula,

$\text{Area of the circle}=\pi r^2$

where r is the radius of the circle.

As it is given that the circumference of a circle is 7π m. Therefore, the radius of the circle can be written as,

$\text{Circumference of the circle} = 2\pi r$

$7 \pi = 2 \pi r\\\\r = 3.5\rm\ m$

Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,

$\text{Area of the circle}=\pi r^2$

$= \pi \times (3.5)^2\\\\= 12.25\pi\rm \ m$

Hence, the area of the circle whose circumference is 7π m is 12.25π m².

Learn more about Area of Circle:

brainly.com/question/1238286

5 0

3 years ago

Thirty minutes before a concert, there were 1,200 people in the 3,000-seat auditorium where the concert was being held. Five min

Yakvenalex [24]

Answer: p = 1500

Step-by-step explanation:

Initially, there were 1200 people.

After the given interval, we know that the auditorium is 90% full (where the auditorium can hold a maximum of 3000 people)

Then after the interval, the number of people in the auditorium is equal to the 90% of 3000.

When we have a percentage X of a quantity A, the quantity of the percentage X is:

N = (X/100%)*A

In this case, the 90% of 3000 is equal to:

N = (90%/100%)*3000 = 0.9*3000 = 2700.

Then, at the beginning of the interval there were 1200 people, and at the end there were 2700.

The difference is:

p = 2700 - 1200 = 1500

This means that the number of people who entered the auditorium dirung the time interval is 1500.

7 0

3 years ago

What is an polynomial?

allsm [11]

It’s an expression of more than two algebraic terms or consists of several terms

6 0

3 years ago

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3 years ago