A circle graph has five sectors. Two sectors are equal to 25% each. The third sector is equal to 35%. Which CANNOT be the value of either of the remaining two sectors?
22%
11%
10%
1%
see same post 2 above this
To find out which value cannot be the value of either of the remaining two sectors, let's use the information given.
We have 5 sectors in total, with two sectors equal to 25% each and one sector equal to 35%.
The sum of these three sectors is 25% + 25% + 35% = 85%.
To find out the range of values for the remaining two sectors, we subtract 85% from 100% (the total percentage of the circle) to find the remaining percentage available.
100% - 85% = 15%.
Therefore, the remaining two sectors must add up to 15%.
Let's check which of the given values cannot be the value of either of the remaining two sectors:
Option 1: 22%
If one of the sectors were 22%, then the other sector would have to be 15% - 22% = -7%. This is not possible because percentages cannot be negative. Therefore, 22% cannot be the value of either of the remaining two sectors.
Option 2: 11%
If one of the sectors were 11%, then the other sector would have to be 15% - 11% = 4%. This is a possible value for one of the sectors, so 11% could be the value of one of the remaining two sectors.
Option 3: 10%
If one of the sectors were 10%, then the other sector would have to be 15% - 10% = 5%. This is a possible value for one of the sectors, so 10% could be the value of one of the remaining two sectors.
Option 4: 1%
If one of the sectors were 1%, then the other sector would have to be 15% - 1% = 14%. This is a possible value for one of the sectors, so 1% could be the value of one of the remaining two sectors.
So, the only value that cannot be the value of either of the remaining two sectors is 22%.
Therefore, the answer is 22%.