Respuesta :

Answer:

8

Step-by-step explanation:

This can be solved using intersecting chord theorem. This tells us that when 2 chords intersect inside a circle, the 4 segment it creates, each individual segments' products are equal.

Thus, we can say that the product of 5 and x is equal to the product of 10 and 4. Thus:

[tex]5*x=10*4\\5x=40\\x=\frac{40}{5}\\x=8[/tex]

Hence x = 8 is the correct answer