Answer:
[tex]AE=18\ units[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
In this problem
Triangles ABC and ADE are similar
so
[tex]\frac{AE}{AC}=\frac{AD}{AB}[/tex]
substitute the values and solve for AE
[tex]\frac{AE}{AE+3}=\frac{6}{7}\\ \\7AE=6AE+18\\ \\ 7AE-6AE=18\\ \\ AE=18\ units[/tex]
