Question

Solve for x and y please

Answer 1

Explanation:

The 2 triangles are similar so corresponding sides are in the same ratio.

3/x = 6/16

6x = 48

x = 8.

9/y = 6/16 = 3/8

3y = 72

y = 24.

Answer 2

• y = 24 m

• x = 8 m

using proportional equation:

`\rightarrow \sf (AC)/(CE) = (DB)/(DE)`

`\hookrightarrow \sf (9)/(6) = (y)/(16)`

`\hookrightarrow \sf 9(16)} = {6y}`

`\hookrightarrow \sf y = 24`

====================

`\rightarrow \sf (AE)/(CE) = (EB)/(DE)`

`\hookrightarrow \sf (3)/(6) = (x)/(16)`

`\hookrightarrow \sf 3(16)} = 6x`

`\hookrightarrow \sf x = 8`