Given a = {(1, , 5}(6, 4)}, b = {(2, 0)(4, , 5)(0, 0)} and c = {(1, 1)(0, 2)(0, 3)(0, , 5)}, answer the following multiple choice question: from the list of sets a, b, and c above, choose the set of relations that correctly represents a function

The sets A and B correctly represent functions.

Step-by-step explanation:

A set of ordered pairs in the format represents a function if for each value of x, there is only one value for y.

The first set is A

A = {(1, 3)(-1, 5}(6, 4)}

For each value of x, there is only one value of y. So this set of relations correctly represents a function.

The second set is B

B = {(2, 0)(4, 6)(-4, 5)(0, 0)}

Again, for each value of x, there is only one value of y. So this set of relations correctly represents a function.

The third set is C

C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}

We have three values of y for x = 0. So this set does not represent a function.

the answer

b. they are parallel and will never intersect.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.