9) The rectangles are similar since the angles are equal and the sides are proportional.
So the answer is YES.
10)In triangle ABC and NML,
[tex]\begin{gathered} \angle L+\angle N=90 \\ \angle L=90-55=35 \end{gathered}[/tex]
So angle L = angle C
angle M= angle B=90
So the triangles are similar by AA test.
So the answer is YES.
11) Since the triangles are similar the sides are proportional so it follows:
[tex]\begin{gathered} \frac{12}{3}=\frac{20}{x} \\ x=\frac{20}{4} \\ x=5 \end{gathered}[/tex]
Hence the value of x is 5.
