All categories

4 years ago

shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)

Mathematics

1 answer:

guajiro [1.7K]4 years ago

8 0

Answer:

Here's one way to do it

Step-by-step explanation:

Divide the hexagon into triangles, for example, as in the diagram below.

The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.

The sum of the interior angles of a triangle is 180°.

There are four triangles, so

Sum of interior angles = 4 × 180° = 720°

You might be interested in

Are the lines x=3 and y= 5 perpendicular or parallel?

Svet_ta [14]

They are parallel since x and y are bottom and top

3 0

3 years ago

Read 2 more answers

A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fus

OverLord2011 [107]

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

6 0

3 years ago

Pleaseeee Answer! Will Mark as Brainliest for the Best Answer

Ede4ka [16]

P^4 s^5 y^-7 z^-1
................................

4 0

3 years ago

Read 2 more answers

What is the change in the y-values and x-values on the graph?The change in the y-values is 40 and the change in the x-values is

kirill115 [55]

Answer:

If you are asking for the slope

Step-by-step explanation:

m = 40

3 0

3 years ago

What is 360 x 5 x 1/12 answer

Igoryamba

Answer:

150

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)​

shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)