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Firdavs [7]
3 years ago
14

PLEASE HELP What is the missing reason in the proof ?

Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0
B) corresponding angle theorem

mestny [16]3 years ago
6 0

Answer:

(A)

Step-by-step explanation:

Given: Lines a and b are parallel and line c is transversal.

To prove: ∠2 is supplementary to ∠8.

Proof:

Statements                                                                Reason

1. a║b, c is transversal                                              Given

2.∠6≅∠2                                            Corresponding angles theorem

3. m∠6=m∠2                                       Definition of congruent

4. ∠6 is supplementary  to ∠8           Definition of linear pair

5. ∠2 is supplementary to ∠8            Congruent supplements theorem

Hence proved.

Hence, option A is correct.

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The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

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Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

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