With reference to the diagram, which conclusion can be drawn correctly from the premises? a) ac = co b) oa + ob + ab > ∠bac c) m∠aco < 45° d) m∠bac = 90°

Applying premise I, OA = OB and OA = OC.

Applying premise II, to ΔOAB, m∠OAB = m∠ABO = m∠ABC.

Applying premise III, to ΔOAC, m∠OAC = ∠ACO = m∠ACB.

Now on application of premise III, it follows that:

2 m∠ABC + 2 m∠ACB = 180° ⇒ m∠ABC + m∠ACB = 90°

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: