The calculated value of x in the circle is 266
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The circle
Also, we have
AB = 42, BC = 18 and CD= 4
Using the theorem of intersecting secant lines, we have
AC * BC = DC * (x + DC)
Substitute the known values into the equation
(42 + 18) * 18 = 4 * (x + 4)
This gives
1080 = 4 * (x + 4)
So, we have
x + 4 = 270
Evaluate
x = 266
Hence, the value of x is 266