Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,

a=mb, here, m = k-1
Hence, proved.
Multiples of 10 = 10, 20, 30, 40, 50, 60
This means the 10th, 20th, 30th, 40th, 50th, 60th, ... fan will get a free hat.
Multiples of 12 = 12, 24, 36, 48, 60
This means the 12th, 24th, 36th, 48th, 60th, ... fan will get a free shirt.
So the 60th fan will receive both a hat and a shirt.
Meaning 60 fans will come to the stadium before a fan receives both a hat and a shirt.
Answer:
Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.
98+456+29+381= 964
867-964= -97
His final balance would be -97
Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.
So here are the two options
1) At least one or at most 2 checks must’ve bounced
2) He got more money in his checking account
To calculate slope; rise/run
Triangle ABC: run-1 rise-5 slope-5
5 rise/ 1 run (5/1)=5
Triangle DEF: run-2 rise 10 slope-5
10 rise/ 2 run (10/2)=5
B. They are equal because the two triangles are similar