Note that both 5 and 4 are exponents, and their product is 5*4=20, or 4*5=20. Thus,
(3^5)^4 is equal to (3^4)^5
Review:
(a to the power b)to the power c = a to the power bc.
Thus, (3 to the power 5)^4 = 3^20; the same is true if you reverse the positions of the 5 and the 4.
By rearranging x = 7y - 5 to make y the subject, we get
x + 5 = 7y ( By transposition method )
or, 
<h2>Answer:</h2>
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.
I say, just take a minute and remember why you are doing it. If you love it, just remember the love that you get from it. If you don't love it, then just think of it as getting experience for something else in life.
I get nervous before my cross country/track/half marathon races and all I think about is why I'm doing it in the first place.
Hope it helps!
Answer: The Answer is B
Step-by-step explanation:
You need to distribute 15x(10x - 4). 15x times 10x is 150x and since there is 2 x's your gonna square it. So then it would be 150x². next 15x times -4 is -60 and add your x. Your answer is 150x² - 60x.
