Respuesta :

Answer:

2

Step-by-step explanation:

Since triangles ABC and ADE are similar by AA (they share angle A and a right angle), their ratio of sides must be equal. Therefore:

[tex]\dfrac{1}{2}=\dfrac{2}{x+2}[/tex]

Multiply both sides by 2:

[tex]1=\dfrac{4}{x+2}[/tex]

Multiply both sides by x+2:

[tex]x+2=4[/tex]

Subtract 2 from both sides:

[tex]x=2[/tex]

Hope this helps!

Answer:

x=2

Step-by-step explanation:

The length from B to D appears to be the same length as from D to E and A to B and twice the length of B to C.

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