Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Using the property of two secants segments to a circle, we have that:
[tex]EB * EA = EC * ED[/tex]
[tex](x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)[/tex]
[tex](x + 1)(x + 12) = (x + 4)(x + 5)[/tex]
[tex]x^2 + 13x + 12 = x^2 + 9x + 20[/tex]
[tex]13x + 12 =9x + 20[/tex]
[tex]13x - 9x = 20 - 12[/tex]
[tex]4x = 8[/tex]
[tex]x = 2[/tex]
So the value of x is 2
