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2 years ago

If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?

Mathematics

2 answers:

MAVERICK [17]2 years ago

6 0

Answer:

The polygon has six (6) sides.

Step-by-step explanation:

We recall that the formula for the sum of the interior angles in a polygon is:

180° (n - 2)

Where n = number of sides

Since from the sum of the interior angles of the polygon is 720°

Then:

720° = 180° (n - 2)

We then solve for n

Divide both sides by 180°

720°/180° = 180° (n - 2)/180°

4 = n - 2

n = 4 + 2

n = 6

Therefore the number of sides of the polygon is 6 making it a hexagon.

Alenkasestr [34]2 years ago

3 0

Answer:

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

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Answer:

a) i) No

ii) Probability of drawing a diamond and then spade without replacement is 0.0637.

b) i) Yes

ii) Probability of drawing a diamond and then spade with replacement is 0.0625

Step-by-step explanation:

Part a) Without replacement:

i) Are these events independent?

No, because the both events are dependent. because a card taken out of the deck is not replaced back before taking out the other card so the chances of event occur change.

ii) Determine the probability of drawing a diamond and then a spade without replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after taking diamond = 52 -1 =51

Spades = 13

Probability of drawing a spade = 13/51

Probability of drawing a diamond and then spade = 13/52 * 13/51

= 169/2652

=0.0637

So, Probability of drawing a diamond and then spade without replacement is 0.0637

Part b) With replacements

i) Are these events independent?

Input Yes or No:

Yes, these events are independent because a card taken out of the deck is replaced back before taking out the other card so the chances of event occur doesn't change.

ii) Determine the probability of drawing a diamond and then a spade with replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after replacing diamond = 52

Spades = 13

Probability of drawing a spade = 13/52

Probability of drawing a diamond and then spade = 13/52 * 13/52

= 169/2704

=0.0625

So, Probability of drawing a diamond and then spade with replacement is 0.0625

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