Find the difference between consecutive terms. If all of them in the sequence have the same difference, then it's an arithmetic sequence. The fourth answer, for example, is not an arithmetic sequence. The difference of 14 and 4 is 10 since 14-4=10. The difference of 24 and 14 is also 10. But the difference between 32 and 24 is 8. Since 8 isn't the same as the other differences, it's not an arithmetic sequence. That should be enough for you to determine which of the remaining sequences is arithmetic.
<span>Let A be the center of a circle and two angles at the adjacent center AOB and BOC. Knowing the measure of the angle AOB = 120 and the measure BOC = 150, find the measures of the angles of the ABC triangle.
</span>solution
Given the above information;
AC=AB, therefore ABC is an isosceles triangle.
therefore, BAO=ABO=(180-120)/2=30
OAC=OCA=(180-90)/2=45
OBC=BCO=(180-150)/2=15
THUS;
BAC=BAO+OAC=45+30=75
ABC=OBA+CBO=15+30=45
ACB=ACO+BCO=15+45=60
1. fraction: 43/100
decimal: 0.43
percent:43%
2.fraction:2/4=1/2
decimal: 0.5
percent: 50%
3. fraction: 64/100 = 32/50 =16/25
decimal: 0.64
4.fraction: 9/100
percent: 9%
5. decimal: 0.24
percent: 24%
6.fraction:37/100
decimal: 0.37
Answer:
None of the options is correct
Step-by-step explanation:
It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.
A. 4 < 50 < 5
50 is greater than 4 but it is not less than 5, so, option A is incorrect.
B. 7 < 50 < 8
50 is greater than 7 but it is not less than 8, so, option B is incorrect.
C. 8 < 50 < 9
50 is greater than 8 but it is not less than 9, so, option C is incorrect.
D. 10 < 50 < 11
50 is greater than 10 but it is not less than 11, so, option D is incorrect.
Thus, none of the options is correct.