Answer:
x = 110
Step-by-step explanation:
This shape is a heptagon. A heptagon's interior angles add up to 900 degrees. You can solve for x by finding the sum of all known values, and subtracting that sum from 900.
105 + 150 + 140 + 135 + 125 + 135 = 790
900 - 790 = 110
Answer:
the real part is part of -12i is 0
Answer:
B
Step-by-step explanation:
Although this problem is quite long and exhausting, it is deceptively simple.
We know that his 12-gallon fuel tank is only half full, so we know that the car needs 6 more gallons of fuel.
If he turns in the car late, he will have to pay y = 2.59x + 32.00, where x is the number of empty gallons (in this case, 6)
In this case, he will pay 2.59(6) + 32.00 = $47.54
If he turns in the car on time, he will have to pay y = 4.50x + 5.00, where x is the number of empty gallons (still 6).
In this case, he will pay 4.50(6) + 5.00 = $32.00
Using these results, we know that B must be true.
Answer:
- triangles
- 180°
- triangles, 180°
Step-by-step explanation:
A diagonal divides a polygon into two parts. Drawing all of the diagonals from a given vertex to the other non-adjacent vertices will divide the polygon into triangles.
The angle sum theorem tells you the sum of triangle angles at any polygon vertex will be equal to the measure of the interior angle of the polygon at that vertex. Since we're concerned only with triangles created by drawing diagonals between non-adjacent polygon vertices, the sum of triangle angles will be the sum of polygon angles.
So, you can multiply the number of triangles by 180° to find the sum of interior angles of the polygon. (The number of triangles is two fewer than the number of polygon sides.)