Answer:
(a) m<DCN < m<BAN - False
(b) BA is tangent to circle N at point A - True
(c) NB ≈ 6.4 - False
Step-by-step explanation:
Applying the properties of circle and tangent to the given diagram, we have;
(a) m<DCN < m<BAN - False
From the diagram, m<DCN ≅ m<BAN = [tex]90^{o}[/tex] (NC⊥CD and NA⊥AB)
(b) BA is tangent to circle N at point A - True
A tangent is a point where a straight line touches the circumference of a circle either internally or externally.
(c) NB ≈ 6.4
ΔABN is a right angled triangle
AN = CN = 4 (radius of circle N)
Let the NB be represented by y, so that,
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 35 = [tex]\frac{4}{y}[/tex]
h = 4 ÷ Sin 35
= 6.9738
h ≅ 7.0
Thus,
NB ≈ 6.4 is False.
