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:
4
You can just put this into a calculator:
1/2^2 = 0.25
3×5-3 = 12
1^3 = 1
0.25 × 12 + 1 = 4
Answer:
c. 29 feet
Step-by-step explanation:
7x + 4 + 9x = 180
16x = 176
x = 11
9x = 9x11 = 99
7x + 4 = 7(11) + 4 = 77 + 4 = 81
<span>in order to form a rectangular image, each angle needs to be equal 90 degreesn
99 - 9 = 90
81 + 9 = 90
answer
</span><span>B. 9°</span>
