Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
Answer:
P = 3
Step-by-step explanation:
L = 4*w
P = 27 + w
P = 2*L + 2*w = 27 + w
2L = 2*(4w) = 8w
Put that into the perimeter formula (the first one.)
P = 8w + 2w = 27 + w
10w = 27 + w Subtract w from both sides
9w = 27 Divide by 9
w = 27 / 9
w = 3
You should find the Length just so you can check it.
L = 4w
L = 4*3
L = 12
Check
P = 2L + 2w
P = 2*12 + 2*3 = 30
P = 27 + w
P = 27 + 3
P = 30 and everything checks.
Answer:
25 * 10^6
But 10^6 is the same as multiply 10 six times, that is, 10 * 10 * 10 * 10 * 10 * 10 * 10. The result is as simple as writing 1 and six zeros, that is, counting the number of zeros I can see. So, 10^6 = 1000000.
Now, 25 * 10^6 = 25 * 1000000
The final answer is 25000000
Step-by-step explanation:
Answer:
S=49
Step-by-step explanation:
Any triangle has an interior angle of 180.
So just add them up and set the sum equal to 180 degrees.
2s+s+33=180
3s=180-33
3s=147 . Divide both sides by 3 to isolate variable s
s=49
X=117 degrees
Y = 63 degrees
Z = 117 degrees