Answer:
[tex]x=35.25[/tex]
Step-by-step explanation:
The two triangles are Similar,
So using the property of similar triangles:
[tex]\\\\\frac{39}{x-6}=\frac{27}{y} =\frac{24}{18}[/tex]
To Find 'x':
[tex]\frac{39}{x-6} =\frac{24}{18}[/tex]
On Cross multiplication:
[tex]39*18=24(x-6)\\\\39*18=24(x)+24(-6)\\\\702=24x-144\\[/tex]
Adding '144' both sides:
[tex]702+144=24x\\\\24x=846\\\\x=\frac{846}{24} \\\\[/tex]
[tex]x=35.25[/tex]
