Answer:
The given fraction reduces to
Step-by-step explanation:
Consider the given fraction
We have to reduce the fraction to the lowest terms.
Consider numerator
We can take x² common from both the term,
Thus, numerator can be written as
Given expression can be rewritten as ,
We can now cancel from both numerator and denominator,
Thus, the given fraction reduces to
Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;
Therefore;
Which gives;
Similarly, given that EF is parallel to AB, we get;
Therefore;
Which gives;
Therefore, the statement that can be proved using the given theorem is segment BF = 16.