Urgent please help..

Answer:
Length of the segment of a secant 'x' is 4 cm.
Step-by-step explanation:
If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.
By this property,
[tex]4\times x = 8^2[/tex]
[tex]4x = 64[/tex]
[tex]x=\sqrt{16}[/tex]
[tex]x=4[/tex] cm
Therefore, length of the segment of a secant 'x' is 4 cm.