<h3>
You have the correct answer. It is choice B. Nice work.</h3>
K is the midpoint, so 
and 
, and along with the congruent vertical angles (
and 
), you would use the SAS (side angle side) congruence theorem to prove the inner pairs of triangles to be congruent.
So, 
(top and bottom triangles) and 
(left and right triangles).
Then through CPCTC, we can show the corresponding pieces are congruent leading to 
and 
showing the opposite sides of the quadrilateral are congruent. Therefore we do have a parallelogram and enough information to prove it as such.
Side note: CPCTC stands for "corresponding parts of congruent triangles are congruent".
Answers:
- a) The sample is the set of students Ms. Lee selects from the box.
- b) The population is the set of all students in Ms. Lee's classroom.
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Explanation:
The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.
If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.
Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.
Step-by-step explanation:
Answer
a - 8
------------+
2
Answer:
4.2 is: 1.) between 4 and 5 closer to 4
7/8 is: 3.) between 0 and 1 closer to 1
-9/5 is: 2.) between -1 and -2, closer to -2
1+3+3+4+6+9+9 is 35
7 numbers so divide by 7
35/7 = 5
Mean is 5
