It didn't let me put the whole picture, so here are the words/word it cut out. Parallel (first word at the top before lines)

Prove (before <1)

Parallel lines m and n are cut by the transversal line t.

Prove <1 and <4 are supplementary. Move options to the boxes to complete the proof.

The options to complete the proof are placed in the boxes of the attached drawing created with Microsoft Word

Step-by-step explanation:

Please see attached drawing of the proof created with Microsoft Word

The two column proof can be  presented as follows;

Statement                                        Reason

                                                 Given

m∠3 + m∠4 = 180°                           Linear pair postulate

∠1 ≅ ∠3                                            Corresponding Angle Theorem

m∠1 + m∠4 = 180°                            Transitive Property      

m∠1 and m∠4 are supplementary   Definition of supplementary angles

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.