This gives you, 4x + 5y = -25 as your final answer.
The first two pieces are the same, let each of those equal x, so you have x + x = 2x
The 3rd piece is the sum of the first two + 4, so this would be 2x + 4
Now you have 2x + 2x + 4 = 100 cm
Combine like terms:
4x +4 = 100
Subtract 4 from both sides
4x = 96
Divide both sides by 4
X = 24
First piece is 24 cm
Second piece is 24 cm
Third piece is 52 cm
Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is
Now, The sum of the numbers is
Let 
where k is an integer
Then, 
which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is 
, 2 is even.
The sum is 
, 6 is even.
Answer:
1:2
Step-by-step explanation:
There are 12 total puppies. To find the number of black puppies, we have to subtract the yellow from the total. So:
12 - 8 = 4
There are 4 black puppies. Now we put the black puppies in ratio to yellow puppies:
4:8
Then simplify (divide both sides by 4):
1:2
The sum of the interior angles of a hexagon is equal to sum of six consecutive numbers. Hence let the smallest consecutive number be x. Then other five numbers are x+1, x+2, x+3,x+4 and x+5. Hence the measure of the smallest angle is 117.5 cm.
