Solve for x please I can’t seem to know anything I feel so dumb please someone help me please

In this question, the two triangles are similar, so we have to use the similarity property of triangle which is
Corresponding sides of the similar triangles are in same proportion .
So we get
9/x = 10/12.5
Performing cross multiplication
10 x = 9*12.5
x = 11.25
So the correct option is the first option .
The triangles are similar
So, ratio of similar sides is equal
So, [tex] \frac{x}{9} =\frac{12.5}{10} [/tex]
To get the value of x , let us multiply by 9 on both sides
[tex] 9*\frac{x}{9} =9*\frac{12.5}{10} [/tex]
[tex] \frac{1x}{1} =\frac{12.5*9}{10} [/tex]
x=[tex] \frac{112.5}{10} [/tex]
x=11.25 Option A