Respuesta :

because both AP and BP are tangent lines they are the same length so we will set them to equal each other to solve for x

AP = BP

3x-4 = 2x +12

subtract 2x from each side:

x-4 = 12

add 4 to each side:

x = 16

now we know x, replace x with 16 in the equation for AP:

AP = 3(16) -4
AP = 48 -4
AP = 44 meters