Answer:
x = 13
Step-by-step explanation:
call the missing number x
8 - x = - 5 Subtract 8 from both sides
8-8 - x = -5-8 Combine
-x = - 13 Multiply by -1
x = 13
Answer:
The only common term is 33.
Step-by-step explanation:
We are given the following in the question:
Sequence 1:

Sequence 2:

Equating the two terms, we get,

Since, n cannot take a negative value, we get n = 4.
Thus, there is only 1 common term both the series have for n = 4.
Common term:

Thus, the only common term is 33.
Answer:
A
Step-by-step explanation:
Answer:
X=128°
Step-by-step explanation:
Because an exterior angle of a triangle is equal to of the two opposite interior angle.
The sum of the exterior and interior angle is equal to 180°
In this case the part marked red = 90° because is a right angled triangle.
90+38=128
180- 128=52
180- 52=128
x=128.
Answer:
5 people trust none of the candidates
Step-by-step explanation:
To know how many people surveyed trust none of the candidates we need to find:
- People that trust all three candidates: 5
- People that just trust candidate B and C: This is equal to people that trust candidate B and C less people that trust all three candidates. So it is equal to: 17 - 5 = 12
- People that just trust candidate A and C: This is equal to people that trust candidate A and C less people that trust all three candidates. So it is equal to: 12 - 5 = 7
- People that just trust candidate A and B: This is equal to people that trust candidate A and B less people that trust all three candidates. So it is equal to: 7 - 5 = 2
- People that just trus candidate C: This is equal to the people that trust candidate C less people that just trust candidate B and C less people that just trust candidate A and C less people that trust all three candidates. So, it is equal to: 48 - 12 - 7 - 5 = 24
- People that just trus candidate B: This is equal to the people that trust candidate B less people that just trust candidate B and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 44 - 12 - 2 - 5 = 25
- People that just trus candidate A: This is equal to the people that trust candidate A less people that just trust candidate A and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 34 - 7 - 2 - 5 = 20
Therefore, we can calculate how many people surveyed trust at least one candidate by the sum of the previous quantities as:
5 + 12 + 7 + 2 + 24 + 25 + 20 = 95
Finally, there are 100 people surveyed and 95 people trust at least one candidate, so 5 people trust none of the candidates.