Find the value of X in terms of Y

[mathlearn]

View attachment 7558

All I see is the three angles of the triangles equal.

View attachment 7559

Any Ideas on how to begin ?

Many Thanks :)

 

[Evgeny.Makarov]

All I see is the three angles of the triangles equal.

In this case the triangles are similar.

 

[mathlearn]

In this case the triangles are similar.

As said above,

In similar triangles, the sides facing the equal angles are always in the same ratio

$\frac{7}{X}$ = $\frac{9}{Y}$

$7Y$ = $9X$

Correct I guess?

Many Thanks :)

 

[Evgeny.Makarov]

$7Y$ = $9X$

Correct, but the final answer is $x=7y/9$ ("find the value of $x$ in terms of $y$").

Also, in mathematics lowercase and uppercase letters often denote different objects, so they should not be mixed.

 

[mathlearn]

Sure :) Thank you for the advice :)

Many Thanks :)