Consider the figure shown below. Find the value of y .

Answer:
y = 5
Step-by-step explanation:
By the theorem of secants intersecting outside the circle,
When two secants intersect outside a circle, product of their segments are equal.
7(7 + y) = 6(6 + 8)
49 + 7y = 6 × 14
7y = 84 - 49
y = [tex]\frac{35}{7}[/tex]
y = 5
Therefore, y = 5 will be the answer.