1 and 2 are less then 3
4=3+1 but you cant get 1 from 7 or 3 so 4 is impossible. So is 5, 6, 8, and 20.
Bolded numbers are answers.
-9 is a rational number. Rational numbers are numbers that can’t be written as a simple fraction like pi (3.14...etc)
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
Contrapositive is basically the converse of the statement. For example, the contrapositive of the statement "If the color is blue, then the fence is blue" is "If the color is not blue, the fence is not blue". Our answer choice that is correct is choice A.
:)
