PLEASE HELP ME WILL GIVE BRAINLIST EVERYTHING IS IN THE PICTURE ABOVE PLS HELP ME

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

Which values of p and q result in an equation with exactly one solution? px-43=-42x+q choose all answers that apply: a) p=-43 and q=-43 b) p=42 and q=43 c) p=43 and q=−42 d) p=42 and q=42

Written as a simplified polynomial in standard form, what is the result when (2x+8)^2(2x+8) 2 is subtracted from 8x^2-38x 2 −3?