Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
To find one interior angle of a regular octagon first we need to find the sum of all interior angles of the octagon.
There is a formula to find the sum of all interior angles. The formula is
, where n is the total number of sides of the polygon.
For octagon the total number of sides = 8.
So the sum of interior angles of the octagon
= 
= 
= 
Now for regular octagon all the angles are equal.
There are total of 8 angles for the octagon. As all angles are same, we can find one interior angle by dividing the sum of interior angles by the number of angles.
So, the measurement of one interior angle
= 
= 
We have got the required answer here. The measure of one interior angle of regular octagon is
.
So, the correct option is option D.
3/7 (0.428571) Miles on Monday
2/6 = 1/3 (.333333) Miles on Tuesday
Subtract both numbers
.428571 - .333333 +
[Answer]: 0.095238
or 2/21 More miles on Monday.