Question

Help me out again lovely geniuses.​

Answer 1

`\\ \tt\hookrightarrow (9)/(x)=(9+6)/(20)`

`\\ \tt\hookrightarrow (9)/(x)=(15)/(20)`

`\\ \tt\hookrightarrow (9)/(x)=(3)/(4)`

`\\ \tt\hookrightarrow 3x=36`

`\\ \tt\hookrightarrow x=12`

Answer 2

Since the triangles are similar:

• 9 + 6:20 = 9:x

Solving the equation:

• 9 + 6:20 = 9:x
• => 15:20 = 9:x
• => 3/4 = 9/x
• => 9/12 = 9/x
• => x = 12

The value of x is 12.