The cardinality of the set B is given to be 96.
<h3>What is the cardinality of a set?</h3>
This is the term that is used to refer to the number of elements that a given set can be said to contain.
This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.
Hence the total numbers excluded is 4. 100 - 4 = 96
Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.
Read more on the cardinality of a set here: brainly.com/question/23976339
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Answer:
1. Given
2, Exterior sides on opposite rays
3. Definition of supplementary angles
4. If lines are ||, corresponding angles are equal
5. Substitution
Step-by-step explanation:
For the first one, it is given as shown in the problem. Also in the figure you can see that line s is parallel to line t.
2. ∠5 and ∠7 are adjacent, they share a common side. Their non-common side are rays that go in a direction opposite of each other. Also you can see that they form a straight line, which means that they are supplementary.
3. Supplementary angles simply put are angles that sum up to 180°. You know this for sure because of proof 2, specifically the part that they form a straight line. The measure of a straight line is 180°.
4. Corresponding angles are congruent. These are angles that have the same relative position when a line is intersected by parallel lines. You have other example in the figure like ∠2 and ∠6; ∠3 and ∠7.
5. This is substitution because ∠1 substituted ∠5 in this case. Since ∠1 is equal to ∠5, then it can substitute it in the equation given in step 3. This means that ∠1 and ∠7 are supplementary as well.
The definition of a prime number is one in which there are no factors other than 1 and itself. For example, 5 has no other factors other than 1 and 5 (itself).
The number 1 is not considered prime nor composite.So, even though it is a square (1²), it is not a prime number.
All square numbers have a square root that is neither 1 nor itself: 16 is the square of 4, 49 the square of 7, and so on.
Due to the fact that square numbers have factors other than 1 and itself, square numbers are not prime.
Hope this helps! :)
Answer:
[y]=-18 so y belongs to (-18,-17)
Step-by-step explanation:
Answer:
P<11
Step-by-step explanation:
<h3>-16p+111>-65</h3><h3>-16p>-65-111</h3><h3>-16p>-176</h3><h3>p<11</h3>
