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2 years ago

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180

Mathematics

1 answer:

Naya [18.7K]2 years ago

6 0

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

<h3>How to find the sum of angles of a polygon?</h3>

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

Read more about Angles in a Polygon at; brainly.com/question/1592456

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A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t

tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

$D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8$

Total outcomes:

Two members from a set of 2 + 4 = 6. So

$T = C_{6,2} = \frac{6!}{2!4!} = 15$

Probability:

$p = \frac{D}{T} = \frac{8}{15} = 0.5333$

53.33% probability that one woman and one man will be chosen to be on the committee

5 0

2 years ago

I need to know the perimeter because i can't figure out some of the side lengths.

blsea [12.9K]

The primeter is the outside p=2+2 +3+1+1 so the primiter is 9

3 0

2 years ago

How do you get the same base for the power

rewona [7]

You use division

over 2 or 4 or 3 or 5 or 7 and so on
in this case 2 is good

64 = 2 * 2 * 2 * 2 * 2 * 2 ( use division) = 2^6

16 = 2 * 2 * 2 * 2 = 2^4

number reminder
64 0
32 0
16 0
8 0
4 0
2 0
1 1

so 64 = 2^6 (number of zeros) no reminder

3 0

3 years ago

Please help... 12! - 9^3

Naily [24]

Answer:

-729

Step-by-step explanation:

$-9^3 = -9 x (-9) x (-9) =$

$-9x(-9) = 81$

$81x(-9)=-729$

4 0

3 years ago

Read 2 more answers

Please help right away

STALIN [3.7K]

Answer:

443 jelly boys

Step-by-step explanation:

the raius is 3.5, then square it is 12.25, multiplied by pie, 12.25*3.14159=38.4844775, then times 11.5 is 442.57149125‬, aproximately 443.

4 0

3 years ago

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180​

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180