Answer:
x = 1, y = 60
Step-by-step explanation:
Value of new-releases (x) = $20 each
Value of classic (y) = $8 each
Total budget = $500
Equation : 20x + 8y = 500
The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.
Lets assume the librarian buys at least one new-release DVD.
x=1
20x + 8y = 500
8y + 20(1) = 500
y = 60
<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>
!!
Answer:
Step-by-step explanation:
Since both triangles are similar, we know this because they have 2 angles in common, they both have the same third angle.
To find the third angle, we use the angle sum. The sum of angles in a triangle will always equal 180 degrees. We are given a right angle which is 90 degrees and another angle, which is 53 degrees. Knowing this:
90 + 53 + x = 180 (I have chosen to call the third angle x)
when rearranging this we get
180 - 90 - 53 = x
now we solve
x = 37 degrees
Hope this helps,
Cate
<u>Given</u>:
Given that a circle O with two tangents BA and BC.
The major arc AC is 234°
The minor arc AC is 126°
We need to determine the measure of ∠ABC
<u>Measure of ∠ABC:</u>
We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."
Hence, applying the above property, we have;

Substituting the values, we get;



Thus, the measure of ∠ABC is 54°
Hence, Option b is the correct answer.
Answer:
See Explanation
Step-by-step explanation:
Given
--- Number of tryouts
Required
Determine the average distance
<em>This question has missing details, as the distance he hits the ball in each tryout is not given. However, I'll give a general explanation.</em>
<em></em>
The mean is calculated as:

means the sum of the distance in each tryout.
Assume that the distance in the 10 tryouts are: 
So, the mean is:



<em>So, the average distance is 6.5</em>