Answer:
B. 
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:

Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = 



Answer:
9
Step-by-step explanation:
cos(68°)×24= 8.99 which can be rounded to 9
<h2>
Answer:</h2>
We will use substitution to solve this system for x.

Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.

We now have our solution.
D. 
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.

Since the equation checks out, our solution is correct.
He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps