Answer:
C) 100°
Step-by-step explanation:
the angles are actually alternate exterior angles, which means that they're equal.
Y = kxz
Find k first to get the equation.
206 = k*(6*11)
206 = 66*k
Divide both sides by 66.
3.12 = k
y = 3.12xz
y = 3.12(-4*25)
y = 3.12(-100)
y = -312
Answer:
Step-by-step explanation:
<u>We observe the pattern:</u>
<u>It can be put as:</u>
- 0 + 1, 1 + 4, 4 + 9, 9 + 16, ..
or
- 0² + 1², 1² + 2², 2² + 3², 3² + 4², ..
<u>The nth term is going to be:</u>
<u>The sum of the 31 terms will be:</u>
- N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²
or
- N = 2(1² + 2² + 3² + ... + 30²) + 31²
<u>Use the formula for sum of the first n squares:</u>
- 1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6
<u>The sum N equals:</u>
- N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²
<u>And the value of N/31 is:</u>
Answer:
Each person will get 
of the whole package of pencils.
Step-by-step explanation:
Since we know that 3/8 of the package was divided among 3 people we just have to divide 3/8 by 3 in order to find out what fraction of the whole package of pencils each person will receive. And so we get...
÷ 3 =
Therefore, each person will get 1/8 of the whole package of pencils.
