Please answer a real answer I have 22 more questions to go

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq

The width of a rectangle is 20 units. can the perimeter p of the rectangle be 64 units when its length x is 11 units? no, because p = 2x + 2(20) no, because p ≠ 2x + 2(20) yes, because p ≠ 2x + 2(20) yes, because p = 2x + 2(20)