Please answer giving brainliest

c.

28.3

Step-by-step explanation:

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

so

(x+34)*x=42^2

x^2+34x=1764

x^2+34x-1764=0

D=b^2-4ac

D=34^2-4*1*(-1764)

D=1156+7056

D= 8212

x=(-b+√D)/2a=(-34+90.6)/2=56.6/2=28.3

I Think it is C. RS = 28.3

Step-by-step explanation:

Because look at R and Q its 42 its more than half as long but its not as long so the answer would be a little more than half.

So the answer is C. RS = 28.3