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.
Answer:
These are confusing Beth , b/c you have to remember that they will add to 100%
Step-by-step explanation:
so
green = 3* yellow
100% = green + yellow + 35% + 25%
100% = 3* yellow + yellow +60%
40% = 4* yellow
10% = yellow
30% = green
there are 14 purples in the bag , which is 35% of total
14/.35 = 40
there are a total of 40 pins
so
4 are yellow (10% of 40 or 40* 0.1)
12 are green (30% of 40 or 40*0.3)
14 are purple (35% of 40 or 40*0.35)
10 are grey (25% of 40 or 40*0.25 )
see? : |
Answer:
Option A is correct that is 
Step-by-step explanation:
We have been given a formula 
We will put values of n in
when n=2 we get
when n=3
Therefore, Option A is correct that is
Answer:
Area = 21/2 = 10.5 area units
Step-by-step explanation:
Two of the points are on the same line (the y-axis) as they both have x-coordinates of 0. This can thus be the base of your triangle.
Two more are on the same line (y= -9) as they both have the same y-coordinate of -9. This can be the height of your triangle.
So you have a base which is between -2 and -9 (7 units) and a height which is between 0 and 3 (3 units) so now just use the equation for area of a triangle 
Answer:
these are quadratic graphs
Step-by-step explanation:
