Question

!!100!! POINTS PLEASE HELP!!

Answer 1

x = 10.

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

Answer 2

x = 5

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.

• 
  `(BC)/(DE) = (AB)/(BD)`
• 8/16 = x/10
• x/10 = 1/2
• x = 10/2
• x = 5