Answer:
Option D is correct.
y ≈3.9 units
Step-by-step explanation:
Intersecting chord theorem states that if two chords intersects inside a circle
then; the product of the length of segments in one chords equal to the product of the segments of the other chord.
In a given circle:
Labelled the chords as A, B , C and D and intersecting point O.
OA= 9 units , OB = y units , OC= 5 units and OD = 7 units
Then, by intersecting chord theorem:
[tex]OA \times OB = OC \times OD[/tex]
Substitute the given values to solve for y;
[tex]9 \times y = 5 \times 7[/tex]
Simplify:
[tex]9y = 35[/tex]
Divide both sides by 9 we get;
[tex]y = \frac{35}{9} = 3.88888889[/tex]
Therefore, the value of y rounded to the nearest tenth is, 3.9
