1. an open box is to be made from a rectangular a piece of cardboard of dimension 25 inches by 40 inches. four x by x flaps are formed at each corner of the cardboard, then the ends are turned up and glued together with the flapes to make an open box.(see figure below)
(a) complete the following table.
length of the flap, x: 0,1,2,3,4,5..find width of the box, w, volume of the box, length of the box
(b) write the volume of the box as a function of x
(c) what are the possible values of x?
(d) use a graphing calculator to graph the function. be sure to use an appropriate viewing window. what dimensions will maximize the volume of the box? for what values of x is the volume 1000 cubic inches?

how do heroes resolve conflicts in beowulf?

question 15 options:

they sue each other in court

they get a mediator

the seek counseling

they get even or take revenge

step-by-step explanation:

the answer is d

for problems like this theres an app, its photomath that explains the problem and gives the answer hope i

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.