I'm also learning about similar shapes in class. :))
The reason having the angles the same doesn't translate over to quadrilaterals is because a square and a non square rectangle would have all 90 degree angles, but not similar side lengths.
I think the only way to prove that they're similar is to check that corresponding angles are congruent and corresponding sides are proportional.
I hope this helped.
Awww please don't be sad.
I was just doing some alcumus and by the time I got 5 questions wrong, I was about to cry.
Considering I just failed by last 5 algebra problems, idk how much you should trust my answer, but I'll give it a try.
z = a + bi
b = 0 since we're looking for the real part of z.
z = a + 0i
a^2 +0i^2 = 1^2
a = +/- 1
Testing for both, a can't be 1, since 1/0 doesn't exist.
Therefore, a = -1.
1/(1--1) = 1/2
I hope this helps. :)))
I'm gonna try the third one. :))
AC is the diameter of the circle, and with pythagreon theorum. 4^2+6^2 = 52, sqrt(52)
So, the raduis is sqrt(13) since it's half the diameter.
The area of the circle is 13pi (sqrt(13)^2*pi)
And the area of the white rectangle is 4*6 = 24
So the area of the grey is 13pi-24.
I hope this helped. :))
In her first topping, she has 9 choices.
In her second topping, she has 8 choices. (not 9 because it can't be the first one she chose)
9*8 = 72 options.
However, we have to consider that choosing a then b is the same as choosing b then a.
For example, choosing peppers then sausage is the same as sausage then peppers, so we have to divide by 2.
72/2 = 36.
36 options. :))