Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
64 lb = 29.0299 KG
Rounding to the nearest hundredth, it's 29.03 KG
The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
We have two points:
A(-4, -7), and B(12, 5)
Let's assume A(x1, y1) and B(x2, y2)
The ratio is 1:3 = m:n
Let's assume the y-coordinate is a
From the section formula:
a = -4
Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
Learn more about the straight line here:
brainly.com/question/3493733
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