Question

How do I solve for x?

Answer 1

`x=35.25`

Explanation:

The two triangles are Similar,

So using the property of similar triangles:

`\\\\(39)/(x-6)=(27)/(y) =(24)/(18)`

To Find 'x':

`(39)/(x-6) =(24)/(18)`

On Cross multiplication:

`39*18=24(x-6)\\\\39*18=24(x)+24(-6)\\\\702=24x-144\\`

Adding '144' both sides:

`702+144=24x\\\\24x=846\\\\x=(846)/(24) \\\\`

`x=35.25`