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Cloud [144]
3 years ago
13

What is the measure of an interior angle of a regular hexagon?

Mathematics
1 answer:
maria [59]3 years ago
7 0
For a polygon,
the <span>Sum of Interior Angles = (Number of Sides -2) • 180 degrees
hexagon = 6 sides so
(6 -2) * 180
all angles sum to 720 So each angle = (720/6) = 120 degrees

</span>
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7 (7.07106781187)

Step-by-step explanation:

All you have to do is find the diameter of the rectangle from two farthest corners. To do this, use the Pythagorean Theorem

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If two dice are thrown whats si the probability that they will add to 9?A2/36B3/36C3/36D4/36
GuDViN [60]

Answer:

D.\frac{4}{36}

Step-by-step explanation:

Solution,

Two dice are thrown.

So we have to find out the total number of outcomes.

(1,1),\ (1,2),\ (1,3),\ (1,4),\ (1,5),\ (1,6)

(2,1),\ (2,2),\ (2,3),\ (2,4),\ (2,5),\ (2,6)

(3,1),\ (3,2),\ (3,3),\ (3,4),\ (3,5),\ (3,6)

(4,1),\ (4,2),\ (4,3),\ (4,4),\ (4,5),\ (4,6)

(5,1),\ (5,2),\ (5,3),\ (5,4),\ (5,5),\ (5,6)

(6,1),\ (6,2),\ (6,3),\ (6,4),\ (6,5),\ (6,6)

The total number of outcomes = 36

We have to find out the probability of outcomes that add up to 9.

So, Possible outcomes are;

<u>(3,6),\ (4,5),\ (5,4),\ (6,3)</u>

The total number of possible outcomes = 4

Now, according to the formula of probability,

P(E)=\frac{Total\ number\ of\ Possible\ outcomes}{Total\ Number\ of\ outcomes}

P(of\ add\ up\ to\ 9)=\frac{4}{36}

Hence the correct option is D)4/36.

5 0
3 years ago
The difference of two supplemtary angles is 58 degrees. Find the measures of the angles
erik [133]

Answer:

The measure of the angles are 61° and 119°

Step-by-step explanation:

Let the first angle = x°

let the second angle = y°

The sum of two supplementary angles = 180°

x° + y° = 180° ----- equation (1)

based on the given question; "the difference of two supplementary angles is 58 degrees."

x° - y° = 58° ------- equation (2)

from equation (2), x° = 58° + y°

Substitute the value of x into equation (1)

(58° + y°) + y° = 180°

58 + 2y = 180

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y = 122 / 2

y = 61°

The second angle is given by;

x° = 58° + y°

x = 58° + 61°

x = 119°

Thus, the measure of the angles are 61° and 119°

4 0
3 years ago
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