Respuesta :

Answer:

x = 5

Step-by-step explanation:

The triangles are similar by AA similarity.

They share a common angle (∠A) and have an angle of 90°.

Since they are similar, we can takes the sides in proportion.

  • [tex]\frac{BC}{DE} = \frac{AB}{BD}[/tex]
  • 8/16 = x/10
  • x/10 = 1/2
  • x = 10/2
  • x = 5

Answer:

x = 10.

Step-by-step explanation:

Triangles ABC and ADE are similar so their corresponding sides are in the same ratio.

So we have:

8/16  =  x / (x + 10)

16x = 8(x + 10)

16x - 8x = 80

8x = 80

x = 10