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katovenus [111]
1 year ago
7

The interior angles of a regular hexagon are congruent.Why are any pair of opposite sides parallel?

Mathematics
1 answer:
dybincka [34]1 year ago
3 0

A pair of the opposite sides of a regular hexagon has equal length,

<h3>What is a regular hexagon?</h3>

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of  interior angles of a regular hexagon is 720 degrees.

The total of the interior angles is 180°(n -2), where n is the number of sides of the convex polygon. Thus for a regular polygon of n sides, the interior angles are each.

(180°)(n -2)/n = 180° -(360°/n)

Let us assume the each angle of the hexagon = m

m + m + m + m + m  + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

Hence Each interior angle of the Regular Hexagon is 120°

A pair of the opposite sides of a regular hexagon has equal length,

Learn more about the regular hexagon here;

brainly.com/question/16805966

#SPJ1

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A first number plus twice a second number is 11. Twice the first number plus the second totals 16. Find the numbers.
satela [25.4K]
<h3><u>The first number, x, is equal to 7.</u></h3><h3><u>The second number, y, is equal to 2.</u></h3>

x + 2y = 11

2x + y = 16

We can subtract 2y from both sides of the first equation to get a value for x.

x = 11 - 2y

Because we have a value for x, we can plug it into the second equation.

2(11 - 2y) + y = 16

Distributive property.

22 - 4y + y = 16

Combine like terms.

22 - 3y = 16

Subtract 22 from both sides.

-3y = -6

Divide both sides by -3.

y = 2

Now that we have a value for y, we can plug it into either equation to solve for x.

x + 2(2) = 11

x + 4 = 11

Subtract 4 from both sides.

x = 7



4 0
3 years ago
5x + 6y = 18 and 18x -15y =36
stira [4]
5x+6y=18

5x=18-6y

x=(18-6y)/5

Use that in the other equation
18(18-6y)/5 - 15y = 36

64.8-21.6y - 15y = 36

28.8=36.6y
.7868=y

Now put that number in for y on the first equation

5x+6(.78) = 18
5x + 4.68 = 18
5x = 13.32
x = 2.66
and y = .78


4 0
4 years ago
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Yes because they are at acute angels
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Answer:

The answer is 17

Step-by-step explanation:

To find the answer, we first have to put the values in for a and b.

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5 0
3 years ago
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Answer:

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