For a 7 sides polygon which is called heptagon or septagon
Interior angles = (7-2)*180/7 = 128.57°
Exterior angle = 180 - 128.57 = 51.43°
Central angle = 360/7 = 51.43°
The statements which are correct:
<span>3. The regular polygon ABCDEFG can be broken down into 2 isosceles trapezoids and 1 isosceles triangle
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<span>5. The central angle of the polygon ABCDEFG is about 51.43° and each interior angle is about 128.57°
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<span>7. The central angle ABCDEFG is the same measure of the exterior angle
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Answer:
The three angles form a "linear triplet" , so their measures must add up to 
Step-by-step explanation:
Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)