Answer:
651.
Step-by-step explanation:
Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.
Consider the given series is
It is the sum of an AP. Here,
First term = 91
Common difference = 85 - 91 = -6
Last term = -29
nth term of an AP is
where, a is first term and d is common difference.
Sum of AP is
![Sum=\dfrac{n}{2}[\text{First term + Last term}]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7Bn%7D%7B2%7D%5B%5Ctext%7BFirst%20term%20%2B%20Last%20term%7D%5D)
![Sum=\dfrac{21}{2}[91+(-29)]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7B21%7D%7B2%7D%5B91%2B%28-29%29%5D)
![Sum=\dfrac{21}{2}[62]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7B21%7D%7B2%7D%5B62%5D)
Therefore, the sum of given series is 651.
Answer:
The last one, I think
Step-by-step explanation:
Answer:
1. 360
2. Yes because in a regular hexagon all angles are congruent so the exterior angles are as well
3. (i) 60 (ii) 120
4.
(i) 1. 360 2. Yes because in a regular octagon all angles are congruent so the exterior angles are as well 3. (i) 45 (ii) 135
(ii) 1. 360 2. Yes because in a regular 20-gon all angles are congruent so the exterior angles are as well 3. (i) 18 (ii) 162
Step-by-step explanation:
Works for each polygon
1. First take the number of sides and subtract it by 2 then multibly that by 180
6-2=4x180=720
Then divide by the number of angles and subrtact that number by 180 to find the measure of one exterior angle
720/6=120
180-120=60
Then multiply by the number of exterior angles
60x6=360
2. Regular polygons always have equal angles so the exterior angles are as well
3. Put in your numbers from earlier
(i) 60 (ii)120
Hope this helps! :)
P.S. Feel free to mark brainliest :)
Answer:
The domain is -2 to positive 2.
I suggest you look at the work in the pictures I attached. It examplains how you work out the problem and what the answer is
