Solve this to get brainiest

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

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).

What is the area of the trapezoid shown