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Mathematics 21 Online
OpenStudy (anonymous):

Polygon.... PLease help..Fan and medal...

OpenStudy (anonymous):

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OpenStudy (anonymous):

something like that.

OpenStudy (anonymous):

A. concave quadrilateral B. convex quadrilateral C. concave pentagon D. convex pentagon

OpenStudy (anonymous):

okay We can eliminate A.

OpenStudy (anonymous):

Could it be C?

OpenStudy (opcode):

Correct, A and B are eliminated since the shape has FIVE sides. PENTA = FIVE Now you just have to choose between C and D. Whether the pentagon is convex or concave.

OpenStudy (anonymous):

We can eliminate also D. so it would be C?

OpenStudy (opcode):

A convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave. (Think: concave has a "cave" in it) Source: http://www.mathsisfun.com/geometry/pentagon.html So yes, I agree C is the best choice.

OpenStudy (anonymous):

Yes Thank you!!

OpenStudy (anonymous):

wait one more please?

OpenStudy (opcode):

Sure, why not. :-)

OpenStudy (anonymous):

thanks..umm ok. What is the sum of the interior angles of a decagon? A. 1800° B. 1620° C. 1440° D. 1260°

OpenStudy (anonymous):

now this one i have no idea.

OpenStudy (opcode):

Decagon: From Greek deka "ten" + gonia "angle". We know one interior angle is 144° and that a decagon has ten sides so: \[144° \times 10 = 1440°\]

OpenStudy (anonymous):

So you multiply practcilly?

OpenStudy (anonymous):

ohh ohh.

OpenStudy (opcode):

Yes, practically all I did was multiply.

OpenStudy (anonymous):

ohh thanks that was the last question thanks.

OpenStudy (opcode):

No problem, glad to help. :-)

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