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Phoenix [80]
2 years ago
13

In the figure, lines l, m, and n are parallel. A classmate says you can use the corollary to the side-splitter theorem to find x

. explain your classmate's error

Mathematics
1 answer:
bulgar [2K]2 years ago
7 0
The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem. 

If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:

\frac{M1}{M2} =  \frac{N1}{N2}

However, none of this would help us solve for x using this theorem. 
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