Answer:
she did not make a mistake
Step-by-step explanation:
The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.
<h3>How to interpret similar triangles?</h3>
From triangle similarity theorems, we know that;
If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
Now, from the given diagram, we see the ratio of corresponding sides are congruent as;
45/30 = 54/36 = 36/24 = 1.5
Thus, the triangles are similar by SSS similarity theorem
Read more about Similar Triangles at; brainly.com/question/14285697
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Answer:

Step-by-step explanation:
apply the rule (a) = a 

apply the exponent rule


add the numbers

which would make the answer

Answer:
12
Step-by-step explanation:
Assuming the diagram is thesame as the one attached,
From the diagram,
Triangle ABC is similar to Triangle DEC
ΔABC is similar to ΔDEC
Note: In similar triangle, ratio of corresponding sides are equal
Therefore,
line(AB) /line(DE) = line(BC)/line(EC).................... Equation 1
Given: AB = 20, BC = 15, EC = BC-BE = (15-6) = 9
Substitute these values into equation 1 and solve for Line DE
20/DE = 15/9
DE = (20×9)/15
DE = 12.
Hence line DE = 12.