In the circle, ab= 34, bc = 12 and cd= 8

Option A. x = 61

Step-by-step explanation:

If two secants are intersecting each other on a point outside the circle then by theorem of intersecting secants

(x + CD)×CD = AC×BC

(x + CD)×CD = (AB + BC) × BC

Here AB = 34, BC = 12, and CD = 8

(x + 8) × 8 = (34 + 12) × 12

8x + 64 = 46×12 = 552

8x = 552 - 64 = 488

x = 488 ÷ 8

x = 61

Therefore option A. x = 61 will be the answer.

b). 4320 have a nice day

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2