Respuesta :

Answer:

The correct answer is:  x = 11

Step-by-step explanation:

C is the center of circle described around a triangle ΔPQR or circumcenter, and according to this :

PC = RC = QC

PC = RC

3x + 7 = 5x - 15 => 5x - 3x = 7 + 15  => 2x = 22  => x = 22/2 = 11

x = 11

Check:

RC = QC

5x - 15 = 51 - x  => 5x + x = 51 + 15  => 6x = 66 => x = 66/6 = 11

x = 11

God with you!!!