Answer:
The measure of one angle is 
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely 
.
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:
We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":
So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":
The result follows directly from properties of modular arithmetic:
That is,
means we can write 
for some integer 
. Then
and taken mod 12, the first term goes away, so
etc
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
Answer:
Andre have more money after 4 weeks and after 6 week they have same amount of money.
Step-by-step explanation:
When Andre =100 then Elena =10.
After 4 week,
Andre = 100+(5*4)=100+20=120
In this time Elena = 10+(20*4) =10+80 = 90
After more 2months Andre have more 5+5=10
Then his total balance will be 120+10=130.
Than Elena after 2 week have 20+20=40.
Then her total balance will be 90+40=130.
That's mean 4 weeks+ extra 2 weeks total 6 weeks
