Given DC is tangent to ON at point o, is each statement true for ON ? Drag "true" or "false" below each statement

(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 = (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 =

Sin 35 =

h = 4 ÷ Sin 35

  = 6.9738

h ≅ 7.0

Thus,

NB ≈ 6.4 is False.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you