Aconstruction crew has just built a new road. it took them 7 weeks to build 8.75 kilometers of road. at what rate did they build the road?

7 weeks = 8.75

1 week = x

where x is the kilometers of road built in a week

Proportion:

8.75/7 = x/1

7x=8.75

x=1.25

for any regular polygon has number of sides = n

⇒ the central angle you used to locate the vertices =

⇒ the measure of each interior angle of the polygon =

1. square n = 4 central angle = 360/4 = 90interior angle = (4-2)*180/4 = 902. pentagon n = 5central angle = 360/5= 72interior angle = (5-2)*180/5 = 1083. hexagon n = 6central angle = 360/6 = 60interior angle = (6-2)*180/6 = 1204. octagon n = 8 central angle = 360/8 = 45interior angle = (8-2)*180/8 = 1355. decagon n = 10central angle = 360/10 = 36interior angle = (10-2)*180/10 = 144

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a step by step description of a general method for drawing the regular polygon:

1.            draw a circle

2.            draw a central angle using x = 360/n

3.            extend the sides of the angle to intersect the circle

4.            use compass to mark off points on the circle that are the same distance apart as two points formed by the central angle and the circle

5.            draw segments connecting consecutive vertices