What is the missing reason for the 3rd step in the proof below? A. If two lines are parallel, then alternate interior angles are congruent
B. Corresponding angles theorem
C. Vertical angles are congruent
D. If two lines are parallel, then alternate exterior angles are congruent

The missing reason for the 3rd step in the proof below is;

C. Vertical angles are congruent

Step-by-step explanation:

In the two column proof, we have;

Statement              Reason

1. AB ║ CD             1. Given

2. ∠3 ≅ ∠7             2. Corresponding angles theorem

3. ∠7 ≅ ∠6             3. Vertical angles are congruent

4. m∠3 = m∠7        4. Definition of congruence    

m∠7 = m∠6

5. m∠3 = m∠6          5. Substitution

6. m∠3 ≅ m∠6         6. Definition of congruence

Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other

Other vertical angles in the diagram are;

1) ∠5 and ∠8

2) ∠1 and ∠4

3) ∠2 and ∠3

the answer to the question is a  

it has the same slope and the same y-intercept.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13