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3 years ago

An interior angle of a regular polygon has a measure of 135°. What type of polygon is it? hexagon octagon nonagon decagon

Mathematics

2 answers:

yan [13]3 years ago

8 0

Answer: The correct option is (B) octagon.

Step-by-step explanation: Given that an interior angle of a regular polygon has a measure of 135°.

We are to select the type of the polygon from the given options.

We know that, if n represents the number of sides of a regular polygon and α be its exterior angle, then

$n=\dfrac{360^\circ}{\alpha}.$

Given that,

an interior angle of the regular polygon is 135°.

So, the measure of an exterior angle will be

$\alpha=180^\circ-135^\circ=45^\circ.$

Therefore, the number of sides of the regular polygon is

$n=\dfrac{360^\circ}{\alpha}=\dfrac{360^\circ}{45^\circ}=8.$

So, there are 8 sides of the polygon and hence it is an OCTAGON.

Thus, (B) is the correct option.

Juli2301 [7.4K]3 years ago

7 0

its a octagon. e2020 approved, you can trust me

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sesenic [268]

Answer:

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Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

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Answer:

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3 years ago

Read 2 more answers

Solve the following system of equations:

Vladimir79 [104]

Answer:

(-1,1)

Step-by-step explanation:

We can solve this by either graphing and finding ther point the lines intersect, or mathematically, I'll do both.

Graphing:

Mathematically:

−2x + 4y = 6

y = 2x + 3

See the attached graph. The lines intersect at (-1,1)

--------------------

I'll rearrange the first equation (to make it easier for me):

−2x + 4y = 6

4y = 2x + 6

y = (1/2)x + 1.5

Now lets substitute the second equation into the first so that we can eliminate y:

y = 2x + 3

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- (3/2)x = (3/2)

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If x = -1:

y = 2(-1) + 3

y = 1

The solution is x = -1 and y = 1, or (-1,1)

=================

Both approaches give us (-1,1), the solution to the system of equations. It is the only point that satisfies both equations.

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