The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12
The value of c in the parallelogram is 45
<h3>How to determine the value of c?</h3>
From the question, we have the following parameters:
- Parallelogram PARL is similar to parallelogram WXYZ.
- AP = 15, PL = 25, and WZ= 75
To calculate the value of c, we make use of the following equivalent ratio.
AP : PL = XW : WZ
Substitute the known values in the above equation
15 : 25 = c : 75
Express the above equivalent ratio as fractions
15/25 = c/75
Multiply both sides of the equation by 75
75 * 15/25 = c/75 * 75
Evaluate the product
75 * 15/25 = c
Evaluate the product
1125/25 = c
Evaluate the quotient
45 = c
Rewrite the equation as
c = 45
Hence, the value of c in the parallelogram is 45
Read more about similar parallelograms at
brainly.com/question/10713530
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That is too small to be an improper fraction.
Answer:
<h2>C</h2>
Step-by-step explanation:
