Please help with this

6.19

7a.C

7b.Angle AED

7c.Angle 8

7d. Angle 6 and 8

Step-by-step explanation:

6a. The labeled angles are vertical angles so we set them equal to each other.

7a.Angle 11 is near Point C so Point C is the vertex.

7b. Angle 5 vertex is E so we can use any 3 points as an angle as long as E is in the middle example, and the angles are on the left side so we can use

Write the angle sign as well.

7c. Angle 6 is vertical from Angle 8.

7d. Angle 7 and 6 form a linear pair and since Angle 6=Angle 8, Angle 7 and 8 form a linear pair as well.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

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.