Respuesta :

joseaaronlara

Answer:

The answer to your question is x = 12

Step-by-step explanation:

Data

BC = 7

DE = x

AB = 7

BD = 5

Process

To solve this problem use proportions and cross multiplication. Compare the ΔADE and ΔABC.

             DE / (AB + BD) = BC / AB

-Solve for DE

             DE = BC (AB + BD) / AB

-Substitution

             DE = 7(7 + 5) / 7

-Simplification

             DE = 7(12) / 7

             DE = 84/7

-Result

             DE = 12

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