Answer:
x = 9.9 is the answer.
Explanation:
In this question UV is the tangent and VY is the secant intersecting circle at W.
Measurement of VW = WY = x and measurement of UV = 14
We have to calculate the value of x.
From intersecting secant and tangent theorem
VU² = VW × (VW+WY) = (x)(x + x) = x(2x) = 2x²= 14²
2x² = 196
x² = 196/2 = 98
x = √98 = 9.89 ≈ 9.9
Therefore x = 9.9