The numbers 1 to 72 add up to (1+72) x 72/2 = 73 x 36 = 2628
If we take away what Josh got we have 2628 - 2521 = 107
Pages in a book are odd on the first side and even on the second, so pages 11 and 12 are on the same sheet.
107 / 2 = 53.5 so the missing page had 53 on one side and 54 on the other side.
The remaining pages would have been numbered 1, 2, 3, ..., 51, 52, 55, 56, ... 71, 72
How to solve shaded regions on a trapezoid is simple.
First find the area of the whole trapezoid, or W but it already gives us that as 21.66 in squared.
Next, find the area of the non shaded region, or NS.
3.8*4.6=17.48 in
Lastly, subtract the NS from the W.
21.66 -17.48 =
NS= 17.48 in squared.
W= 21.66 in squared.
S= 4.18 in squared.
The answer is B- 4.18 in Squared
C is correct,
A is wrong as it halves both the angles and lengths by two which is the same as what she did in the first place so it cannot be correct.
B is also wrong for a similar reason, a triangle cannot have less than 180 degrees, which is impossible as the angles just change naturally which is why all triangles must have 180 degrees, which is the reason she is wrong in the first place.
And D is just incorrect, if she wanted to have shorter sides she should have only decreased all the lengths as it the the ratio of angles that determine the shape of a triangle while the sum of all angles is 180 degrees.
220 people per year
2600-1500= 1100/5 = 220
