I recently completed this question!
Here are the answers:
1) same side interior angles
2) (3x+4)+(2x+11) = 180
3) 77
The expression is 4*sqrt(30). Work Shown: Let's define circles P and Q with P representing the area of the circle with a radius of 19 and Q for a radius of 29. By using A = π*r², P calculates to 361π and Q to 841π. The resultant shaded area between circles P and Q is R = Q - P, which amounts to 480π. To ascertain the radius of a new circle S that would equal this area, we simplify R = 480π to find r = sqrt(480) leading us to r = 4*sqrt(30).