For this case, the first thing we must do is define variables.
We have then:
f: number of points that fabio scored.
c: number of points that Carlos scored.
We now write the equation that models the problem:
Then, for f = 31 we have:
From here, we clear the number of points:
Answer:
The equation to find the number of carlos points is:
Then, Carlos scored:
Answer:
Step-by-step explanation:
Step 1: Pythagoras Theorem
Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:
Step 2: Trigonometric Functions
Only for a right angle triangle following three trigonometric relations are valid
Step 3: Verifying all the possible answers
A: Since, LN = x and using
we can calculate
therefore, NM = x (true)
B: As NM = x therefore it can not be equal to .
C: Using Pythagoras Theorem
It can also be proved using trigonometric relation
As,
Therefore
D and E:
Using same approach similar to part A
Since, LN = x and NM = x
we can calculate
Therefore, and not equal to
