Tamara received a gift card with a $200 balance for her birthday she buy several video games for $45 each write an equation to h
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Mathematical proofs are used to prove or disprove mathematical statements.
<h3>Mathematical theorems </h3>The theorems to use are:
- The sum of angles on a straight line is 180 degrees
- Alternate angles are congruent
From the question, we have:
This means that, ABC is a triangle
Also, we have:
BP || AC
This means that lines BP and AC are parallel
So, the following angles are congruent by alternate angle theorem
.
The angles on a straight line add up to 180 degrees.
So, we have:
By substitution, the above equation becomes
Rewrite the equation as:
Hence, the statement that has been proved
Read more about mathematical proofs at:
ANSWER
The value of x is
EXPLANATION
F is the point of intersection of the medians of the triangle,
The ratio is
This implies that,
We can write this as a fraction to get,
We cross multiply to get,
Let us expand the brackets yo obtain,
We group like terms to get,
We divide both sides by 2 to get,
The correct answer is B.
The value of x is
EXPLANATION
F is the point of intersection of the medians of the triangle,
The ratio is
This implies that,
We can write this as a fraction to get,
We cross multiply to get,
Let us expand the brackets yo obtain,
We group like terms to get,
We divide both sides by 2 to get,
The correct answer is B.