Use the alternate interior angles theorem diagram to answer the question. give the missing reason in this proof for the letter given.

The correct answers are:

a) Corresponding angles theorem; b) vertical angles theorem; c) transitive property

Explanation:

A) ∠2 and ∠6 are on the same side of the transversal and on corresponding sides of their line they are on.  This is the definition of corresponding angles, and the corresponding angles theorem tells us they are congruent.

B) ∠4 and ∠2 are opposite angles that share only a vertex.  This is the definition of vertical angles, and the vertical angles theorem tells us they are congruent.

C) We know that ∠2≅∠6 and ∠4≅∠2.  Using the transitive property, we can then say that ∠2≅∠6.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation: