Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Answer:
Step-by-step explanation:
Let the equal number of hours be represented by variable H;
The two equations will be as follows;
Jack; 40 +30H
Mark; 50 +25H
Next, equate them;
40 + 30H = 50 + 25H
30H - 25H = 50 - 40
5H = 10
H =10/5
H = 2hrs
Therefore, they charge the same amount at 2 hrs.
B.) The amount charged;
Replace the variable H in any of the two equations above with 2 to solve for the amount.
Equation 40+30H = 40 + (30*2)
=40 + 60
= $100