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1 answer:
The distance between the cities is 280 miles. The rule is y = 40x, where x is the distance in inches on the map and y is the distance in miles.
Step-by-step explanation:
Step 1:
The map's key shows that 5 inches on the map equal 200 miles of actual distance.
5 inches on the map = 200 miles of actual distance,
if we divide both sides by 5, we get;
1 inch on the map = 40 miles of actual distance.
Step 2:
If x is the distance on the map in inches and y is the actual distance in miles,
y = 40x.
If the map distance 7 inches, x = 7.
Substituting, x =7 in the equation, .
So the actual distance between the cities is 280 miles.
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Step-by-step explanation:
The difference between regular and irregular polygons:
Regular polygons
1. All sides and all the interior angles of the regular polygon are equal.
2. Since, all the interior angles are less than 180°, therefore they are convex in nature.
Irregular polygons:
1.Either the sides are not congruent, or the interior angles are not congruent, or both the sides and the interior angles are not congruent.
2. Since, one or more of the interior angles are greater than 180°, therefore they may be either concave or convex.
Finding the area for both regular and irregular polygons is different.
In case of regular polygon, it is equilateral and equiangular, we use a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side(APOTHEM) to find the area that is:
Area=.
But, in case of irregular polygons, finding the area is quite difficult unless we know the coordinates of the vertices as each side and angle can be different.
Examples:
A square is a regular polygon.
A scalene triangle is an irregular polygon.