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# Constructing a polygon

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To construct a regular 5-gon , first draw a circle with the center O. Then proceed to find on the circle the vertices V1, V2, V3 and V5 of the

Regular pentagon as follows:

___

____ ____
Label any point on the circle V1 and draw OB perpendicular to OV1 .
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Join V1 to C, the midpoint of OB.
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Bisect angle OCV1 to obtain the point N, OV1.

Construct the perpendicular to OV1 at N and obtain the point V2

I tried to draw the best picture I could. I am now to construct a regular pentagon, and use the examples as above.

https://brainmass.com/math/geometry-and-topology/constructing-polygon-187884

#### Solution Preview

I have constructed the pentagon following the given procedure. First file shows the construction. That is the file containing the ...

#### Solution Summary

This provides an example of constructing a regular pentagon.

\$2.19

## Construct Histogram of Frequencies, Frequency Polygon and Ogive Curve

Consider the following data on distances traveled by people to visit the local amusement park:

Distance Frequency
1-8 miles 15
8-15 miles 14
15-22 miles 10
22-29 miles 8
29-36 miles 3

Expand and construct the table adding columns for relative frequency and cumulative relative frequency and construct the histogram of frequencies, plot the frequency polygon and the Ogive curve using Excel.

Distance Frequency Rel frequency Cumulative Rel. freq.
1 - 8 15 0.30 0.30
8 - 15 14 0.28 0.58
15 - 22 10 0.20 0.78
22 - 29 8 0.16 0.84
29 - 36 3 0.06 1.00
Total 50 1.000 N/A

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