Answer:
the first two answers are perpendicular
E. Commutative property of multiplication
Refrection of (-20, 4) across x-axis gives (-20, 4) = (-20, -4)
Refrection of (-20, 4) across y-axis gives (20, 4)
Refrection of (-20, 4) across y = -x gives (20, -4)
Refrection of (-20, 4) across y = 7 gives (20, 10)
If A and B are independent, then
.
a.



b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:



c. DeMorgan's law can be used here too:



Let y = the distance between the top left corner and the bottom right corner
y^2 = 24^2 + 15^2
y^2 = 801
y = 3 * sqrt(89)
Now we can find x.
12^2 + x^2 = (3 * sqrt(89))^2
x^2 = 657
x = 3 * sqrt(73) or 25.63