Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
1. H+S=40
2. 19H+25S=922
From 1,
19H+19S=760
Subtract this from 2 to eliminate H,
19H+25S-19H-19S=922-760
6S=162
Solve for S, then use either equation to solve for H.
Answer:
4,321
Step-by-step explanation:
This is the answer because:
1) We know that if the number has to be big therefore, we have to put 4 in the thousands place because 4 is bigger than 3, 2, and 1
2) Next, 3 is the other biggest number, for that reason 3 is in the hundreds place
3) Then, 2 is the other bigger number; therefore, the tens place is 2
4) Finally, the last number remaining is 1, which is in the ones place
Therefore, the answer is 4,321
Hope this helps!
This problem is basically
If I plug in n = 16 and r = 9
So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)
-0.85 as a fraction is -17/20.
