Respuesta :

Answer: 4

Using similarity triangle theorem

DB/BE = AD/CE

DB = 10 - x

BE = 3

AD = x

CE = 2

10 - x / 3 = x / 2

Introduce cross multiplication

(10 - x) * 2 = 3 * x

10 *2 - x*2 = 3x

20 - 2x = 3x

Collect the like terms

20 = 3x + 2x

20 = 5x

Divide both sides by 5

20/5 = 5x/5

x = 4

The answer is 4

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