In ΔEFG, {EG}EG is extended through point G to point H, m∠ EFG = (2x+1) m∠EFG=(2x+1), m∠ FGH = (6x+2) m∠FGH=(6x+2), and m∠ GEF = (x+19) m∠GEF=(x+19). Find m∠ GEF.

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.