Question

How do I solve for x?

Answer 1

Answer:

$x=35.25$

Step-by-step explanation:

The two triangles are Similar,

So using the property of similar triangles:

$\\\\\frac{39}{x-6}=\frac{27}{y} =\frac{24}{18}$  

To Find 'x':

$\frac{39}{x-6} =\frac{24}{18}$

On Cross multiplication:

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

Adding '144' both sides:

$702+144=24x\\\\24x=846\\\\x=\frac{846}{24}$

$x=35.25$