393 is 3 times as much as 131 because 393/3 is 131 and 131 times 3 is 393
Answer:
I think that A, B, and C are correct.
Step-by-step explanation:
1. Since measures 2 and 3 are a linear pair, they equal 180 degrees. A is correct.
2. Since measures 3 and 4 are also a linear pair, they too equal 180 degrees. B is correct.
3. Measures 2 and 3 are already established to be 180 degrees (check answer 1) , and measures 3 and 4 are also 180 degrees (check answer 2). Since they are both 180 degrees, they are congruent (equal), so C is correct.
D is NOT correct. Measures 1 and 3 are equal because they are vertical angles. We also know that they are acute angles (less than 90) so adding them together will equal less than 180 degrees.
Measures 2 and 4 are equal because they are vertical angles, and they are obtuse (more than 90 degrees). Adding them together will equal more than 180 degrees.
Logic tells us that something less than 180 CANNOT be equal to something more than 180. This proves that 2 and 4 and 1 and 3 are not congruent.
D is WRONG
Answer: (B) stratified random sampling.
Step-by-step explanation:
- A stratified random sampling technique is a sampling technique in which the researcher includes the participants from each group.
- He divides the entire population into groups and then he randomly selects participant from that groups of known as strata .
Here, Math department can send 6 people to a national convention and they would like to send 4 students out of 30 and 2 faculty members out of 6.
The department is considering both groups or strata of Students and faculty members as well.
And they selected 4 students randomly out of 30, and then 2 faculty members are randomly selected from the six.
Therefore , This is an example of stratified random sampling.
Hence, the correct option is (B) stratified random sampling.
Same would need to get at least a 95% on the next test, if he would like to receive a total average of an 80%
-15/16 divided by -1 1/2
Convert -1 1/2 to -3/2
Divide, multiply reciprocal
-15/16 * -2/3 = 30/48 = 15/24 = 5/8
Final answer: 5/8
