How do I solve for x?

Question

asked Nov 27, 2021 95.6k views

1 Answer

Demetria · Answer 1 · 2021-12-03T18:25:39+0000

Answer:

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