Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Tara and Jane just had business cards made. Tara's printing company charged a one-time setup fee of $10 and then $16 per box of cards. Jane, meanwhile, ordered hers online. They cost $17 per box. There was no setup fee, but she had to pay $6 to have her order shipped to her house. By coincidence, Tara and Jane ended up spending the same amount on their business cards. How many boxes did each buy? How much did each spend?

Tara and Jane each bought boxes of business cards, spending $

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.

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.