Find the lowest price you would have to pay in each of the following situations. 1. Radio $500, F. O.B. factory; less 30%, 10%, 5%; terms 2/10; freight $62

2. Office machine $1,200, F. O.B. factory; less 20%, 10%, 10%; terms n⁄30; freight $75

3. A businessman in Philadelphia wants to buy electric heaters. His best sources are two firms in Chicago. Let’s call them Firm A and Firm B. Firm A lists a heater at $291 less 331⁄3% and 10%, F. O.B. Chicago. Firm B lists the same heater at $350, less 30% and 20%, F. O.B. destination. In addition, both firms offer a 2% discount for cash within 10 days. The freight on each heater would be $22.75. What will be the least cost of the heater from each concern?

Firm A
Firm B

4. You’ve bought 20 calculators listed at $125 each less 15%, 10%, and 5%. The date of the invoice was June 28, and you paid the bill on July 6. What amount did you pay if the terms were 3⁄10, n⁄60?

5. A trailer is selling for $1,150 less 331⁄3%, 10%, and 4%. What is the invoice cost?

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.

3. 8,935,200 minutes

4. 227,040 feet

answer: the prove is mentioned below.

step-by-step explanation:

an isometric rigid transformation is a transformation of the plane that preserves lengths and angles.    

that is, the pre-image and the image under a rigid transformation will be congruent.

here, given: cb ║ ed and cb ≅ ed

prove that: δ cbf ≅ δ edf

since, cb ║ ed

therefore, by the alternative interior angle theorem,

∠fcb ≅ ∠fed

∠fbc ≅ ∠ fde

and, cb ≅ ed ( given)

therefore, the angles and sides are persevered after transformation.

thus, by the definition of isometric rigid transformation,

δ cbf ≅ δ edf