Clara solved the equation 7 3 x = − 2 3 as shown. 7 3 x ( 3 7 ) = − 2 3 ( 3 7 ) x = −14 What is Clara’s error? Clara should have
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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:
However, none of this would help us solve for x 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:
However, none of this would help us solve for x using this theorem.