Answer:

Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:

Solving, we get:

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:

Answer:
Its d
Step-by-step explanation:A probability of 1 indicates an event will definitely happen.
Answer:
1/8 or 0.125
Step-by-step explanation:
Let x be the length of the sides of the square ABCD.
Therefore, the length of CN and CM is x/2.
The area of the triangle MCN is:

The area of the square ABCD is:

Thus, the probability that a random point lies in the triangle MCN is:

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.
Answer:
It is a solution
Step-by-step explanation:
y = -4x - 8
Let x = -9 and y = 28
Substitute these values in
28 = -4(-9) -8
28 = 36 -8
28 =28
This is true so it is a solution