Answer:
Option D is correct
value of x is, 9
Step-by-step explanation:
If two secant segments are drawn from a point outside a circle,
then the product is given by":
[tex](A+B) \cdot B = (C+D) \cdot D[/tex]
As per the statement:
Given the circle.
Let A= 5, B = 4, C = x and D = 3
We have to find the value of x.
Using the formula of length of two secants:
[tex](A+B) \cdot B = (C+D) \cdot D[/tex]
then;
[tex](4+5) \cdot 4 = (3+x) \cdot 3[/tex]
⇒[tex]9 \cdot 4 = (3+x) \cdot 3[/tex]
Divide both sides by 3 we have;
[tex]3 \cdot 4 = 3+x[/tex]
⇒[tex]12 = 3+x[/tex]
Subtract 3 from both sides we have;
9 = x
or
x = 9
Therefore, the value of x is, 9
