Find the value of y.
y=

0.5

Step-by-step explanation:

AB and AC are tangents from point A to the circle with center P at points B and C respectively.

Measures of the tangents drawn from external points to a circle are equal.

Therefore,

11y = 3y + 4

11y - 3y = 4

8y = 4

y = 4/8

y = 0.5

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)