So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:
Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: 
<u>Now you can rewrite this as 
, which is your final answer.</u>
Answer:
Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.
Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.
Step-by-step explanation:
So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.
Answer:
567.69
Step-by-step explanation:
Let p represent the original price
The Mark up is 27%
= 27/100
= 0.27
= p + 0.27p
= 1.27p
The retail price for pants is
= 1.27(74)
= 93.98
The retail price for suit jacket is
= 1.27(325)
= 412.75
The retail price for dress shirt is
= 1.27(48)
= 60.96
Therefore the markup for a pair of pants, dress shirts and suit jacket can be calculated as follows
= 93.98 + 412.75 + 60.96
= 567.69
