Answer:
6/11
Step-by-step explanation:
2/11 x 3/11
Answer:
x = 22°
Step-by-step explanation:
158 + x = 180
x = 180 - 158
x = 22
Answer:
1. 2/6 or 1/3
2. 4/6 or 2/3
3. 3/6 or 1/2
Step-by-step explanation:
I hope this helps I did the ones I knew
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:
x=30
Step-by-step explanation:
The two angles are on a straight line, so they are supplementary. They add to 180 degrees.
4x+20+40=180
Combine like terms
4x+60=180
Subtract 60 from both sides
4x+60-60=180-60
4x=120
Divide both sides y 4
4x/4=120/4
x=30
