<u>angle B and angle G</u> are congruent because of the alternate exterior angles theorem.
<u>angle A and angle H</u> are also congruent, because of the same theorem.
So, the answers are <u>A, and D</u>
put the equation 2x - y = 16 in the form of y = mx + c
2x - y = 16
2x = 16 + y
y = 2x - 16
the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.
you can form this equation with that info
2x = -1
x = -1/2
OR
you can flip and change the sign (numerator) of 2/1
2/1
= -1/2
100, because, x^2 - 20x + 100 = ( x - 10 )^2;
Answer:
a) sample of size n from the population has an equal chance of being selected.
b) Every member of the population has an equal chance of being included in the sample.
Step-by-step explanation:
Simple random sampling:
- It is a type of probabilistic sampling.
- It is an unbiased representation of population.
- The probability of selection is equal for every observation.
- A sample is taken in such a way that each member has an equal probability of being selected.
- A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
- Thus,the correct interpretation is given by,
a) sample of size n from the population has an equal chance of being selected.
b) Every member of the population has an equal chance of being included in the sample.
- c) The simplest method of selection is used to create a representative sample.
The statement is false.
There is no pattern or technique used for selection. The selection is purely random.
- d) Each subset of the population has an equal chance of being included in the sample.
The statement is false.
Each object of the population has an equal chance of being included in the sample. and not each subset.
- e) Every sample of size n from the population has a proportionally weighted chance of being selected.
The given statement is false.
Answer : The Euclidean geometry is a mathematical system that is attributed to Alexandrian Greek mathematician Euclid. He described mostly about the Elements in geometry. The method consisted of assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
The five basic postulates of euclidean geometry are as follows;
- A straight line may be drawn between any two points.
- A piece of straight line may be extended indefinitely.
- A circle may be drawn with any given radius and an arbitrary center.
- All right angles are equal.
- If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.
