Question

joelle set up the following proportion to solve for X determine if her portion is correct.A joelle proportion correctBJoelle portion is not correct because BD which is 4,corresponds proportionately to BA which is 9 not 5 C Joelle proportion is not correct because DE which is 6 does not correspond proportionately to AC which is XD Joelle proportion is not correct because the DE which is 6 corresponds proportionately to BA which is X +6 not x

Answer 1

This is a simple question to solve. Once we can see triangles BDE and BAC are similar (the difference is that triangles BDE is smaller than triangle BAC) their sides have the same proportion, it means even if one side of triangle BDA is smaller than the corresponding side for triangle BAC, the relationship between their sides and angles are equal. Once we know that, when we make a relation between side BD and DE (triangle BDE) it is equal to the relation between the sides BA and AC (triangles BAC) because they are proportional. So the final answer is the letter A. Joelle's proportion is correct.