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3 years ago

What is the sum of the interior angle measures of a regular decagon?

2 answers:

8 0

DECA=10, so a decagon has 10 sides.

the sum of all interior angles, in degrees, in a polygon is

180( n - 2 )

where n="number of sides".

for a decagon that'd be 180( 10 - 2 ).

omeli [17]3 years ago

6 0

Answer:

The sum of the interior angle measures of a regular decagon is 1440°

Step-by-step explanation:

Given a regular decagon.

we have to find the sum of the interior angle measures of a regular decagon.

The sum of all of the interior angles using the formula

$S=(n-2)\times 180$

where n is the number of sides.

For regular decagon, n=10

The sum of all of the interior angles

$S=(10-2)\times 180$

$S=8\times 180=1440^{\circ}$

Hence, the sum of the interior angle measures of a regular decagon is 1440°

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garik1379 [7]

Answer:

Step-by-step explanation:

common difference=3

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4 years ago

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Yuri [45]

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3 years ago

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3 years ago

HURRY SIS (perpendicular,parallel,or none)

Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

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4 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

ArbitrLikvidat [17]

Answer:

$\frac{1}{a^{6} b^{4} }\\\frac{a^{6} }{b^{6} }\\ \frac{a^{6} }{b^{5} } \\\frac{b^{6} }{a^{6} }\\ a^{6} b^{3}$

Step-by-step explanation:

Basically when a variable with a negative exponent, such as $a^{-2}$ , you just take the reciprocal of it and then change the exponent sign, or in simple terms flip it. The reciprocal of a^{-2} and changing the exponent sign is is $\frac{1}{a^{2} }$ .

To demonstrate let’s solve the first problem:

$\frac{a^{-4}b^{-2} }{a^{2} b^{2} }$

Using what we just learned, we take the reciprocal and flip the sign of $a^{-4}$ and $b^{-2}$ , which are $\frac{1}{a^{4} }$ and $\frac{1}{b^{2} }$ respectively.

Therefore the equation is now:

$\frac{1}{a^{2}a^{4}b^{2}b^{2} }$

To simplify we add the exponents (only if they have the same base, or the same variable, in this case)

Therefore our answer is:

$\frac{1}{a^{6}b^{4} }$

3 0

2 years ago