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.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b