Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
Answer
Notebook each =$4
Folder each = $9
First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30
Because we know from the first equation
f=n+5, we can substitute that into the second equation for f
3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4
Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9
We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
Answer : 212
Reason why is because yu have 2/5 you multiply it across 8/1 5x1= 5 and 8x2= 16 then you will have 5/16 you divide 5 into 16 , 5 goes into 16 twice then subtract 16 and 10 then you would have 6 bring down the 0 and you have 60 . 5 goes into 60 12 times then you have your answer 212 .
Answer:
(4,-1)
x=4
y=-1
Step-by-step explanation:
Her overall change in her account would be -$525, because she withdrew $75 seven times.
