Answer: [tex]x=7[/tex]
Step-by-step explanation:
By the Intersecting Secants Theorem, we know that:
[tex](5)(x+5)=(6)(6+4)[/tex]
Having this, we can find the value of "x" by solving for "x":
Applying Distributive property:
[tex](5)(x+5)=(6)(24)\\5x+25=60[/tex]
Subtract 25 from both sides of the equation:
[tex]5x+25-25=60-25\\5x=35[/tex]
And finally dviding both sides of the equation by 5, we get:
[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]
