Answer:
The answers are:
a) 
is FALSE.
b) 
is TRUE.
c) 
is FALSE.
d) 
is FALSE.
e) 
is FALSE.
f) 
is TRUE.
g) 
is FALSE.
h) 
is FALSE.
Step-by-step explanation:
We can show that the FALSE statement are, in fact, false finding an example where the equality fails.
a) Take x=2 and y=3 and notice that (2+3)² = 25, while 2²+3²=4+9=13.
b) (x+y)² = (x+y)(x+y)=x²+xy+xy+y² = x² +2xy +y².
c) Take x=2 and y=3 and notice that 2/(2+3) = 2/5 which is different from 1/3.
d) Take x=2 and y=3 and notice that 2-(2+3) = 2-5=-3 which is different from 3. Recall that x-(x+y) = x-x-y=-y.
e) Take x=-2, and notice that [tax]\sqrt{(-2)^2} = \sqrt{4} = 2[/tex] which is different from -2.
f) The previous example illustrate why this is true.
g) Take x=1, and notice that 
which is different from 3.
h) Take x=2 and y=3 and notice that 1/(2+3)=1/5 and 1/3+1/2 = 5/6.
If you draw diagonal EG, then triangle EFG is congruent to triangle EHG since they have 3 congruent sides.
This means that angle FEG is congruent to angle HGE. Since the alternate angles are equal, they must be bounded by parallel lines i.e. EF is parallel to HG.
Answer: 24%
Step-by-step explanation:
A company is expanding its building area from 16,500 square feet to 20,460 square feet. To calculate the percentage increase in the area of the building space, we first find the difference. This will be:
20,460 - 16,500 = 3960
We then divide the difference by the former building area and then multiply by 100. This will be:
3960/16500 × 100
= 0.24 × 100
= 24%
The percentage increase of the area of the building space is 24%.
How to find th unique prime factorization of 10 factorial
