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Regular polygons the ratio of the sids of regular polygon is 4:5 and the ratio of the angles of that poligon is 15:16 find the number of sides......?

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  • Anonymous Apr 01, 2014

    don't know answer

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Not the question of this site.

Posted on Aug 16, 2008

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1 Answer

How many angles does a regular polygon have when its interior angle is 176 degrees


Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

1 Answer

How many sides does a regular polygon have when the interior degrees is 176?


Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

1 Answer

What is the number of diagonals of a regular polygon whose interior angle measures 144 degrees?


180(n-2)=n*144 in our case
solving for n we obtain:
36n = 360
n=10 sides
CHECK!!!!!!!!!!!!!!!!!!!

Dec 01, 2015 | Miscellaneous

1 Answer

If the ratio of the corresponding side lengths of two similar polygons is 5:9, what is the ratio of their perimeters?


This works for any polygon:

Say you have 2 squares - the sides are 5 and 9
Perimeter 1 = 20
Perimeter 2 = 36

20:36 = 5:9

Apr 10, 2014 | Texas Instruments TI-83 Plus Calculator

1 Answer

Sslc maths


What follows is true for CONVEX polygons.
Let n be the number of sides of a convex polygon, and let n be greater than or equal to 4, then
The number of diagonals is given by n*(n-3)/2
Using this rule, write n*(n-3)/2=20. Clear the fraction, open brackets. You end up with n^2-3n-40=0.
Factor the polynomial or use the formulas for the quadratic equation to find the roots as n=-5 or n=8. Discard the negative root because n must be positive.

Oct 05, 2013 | Computers & Internet

1 Answer

How do convex polygons differ from non-convex polygons?


A convex polygon is one with each of its interior angles less than 180 degrees and every line segment between any of its two vertices remains inside or on the boundary of the polygon.

150px-pentagon.svg.pngExample of a convex polygon (WIKIPEDIA)


A concave polygon will always possess an interior angle with a measure that is greater than 180 degrees.

150px-simple_polygon.svg.pngExample of a concave polygon (WIKIPEDIA)

Aug 11, 2011 | Computers & Internet

2 Answers

TROUBLESHOOTING ERROR CODE SC320


SC-320 Polygon mirror motor error:
Symptom: Did not detect lock signal from
polygon mirror motor within 10
seconds after motor ON signal;
or, lost lock signal for
continuous 1.5 seconds after
signal was detected.
Cause:
1.Polygon mirror motor (or harness)
defective
2.FCU defective

P.S. Remove LSU. Turn out poligon mirror.
Clean & lubricate.


Jun 19, 2009 | Ricoh Aficio 150 Copier

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