Step-by-step explanation:
Consider the provided information.
We have given that H and k are the subgroups of orders 5 and 8, respectively.
We need to prove that H∩K = {e}.
As we know "Order of element divides order of group"
Here, the order of each element of H must divide 5 and every group has 1 identity element of order 1.
1 and 5 are the possible order of 5 order subgroup.
For subgroup order 8: The possible orders are 1, 2, 4 and 8.
Now we want to find the intersection of these two subgroups.
Clearly both subgroup H and k has only identity element in common.
Thus, H∩K = {e}.
Answer:
B is the correct answer
Step-by-step explanation:
Coefficient is - 5 and constant is 2
The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.
<h3>What is a triangle?</h3>
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.
Triangle is a very common figure to deal with in our daily life.
It is known that the sum of all three angles inside a triangle will be 180°.
So, m∠A + m∠B + m∠C = 180°
m∠C = 180° - 58° - 44°
m∠C = 78°.
The exterior angle of C = 180- 78 = 102°.
Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".
For more about triangles,
brainly.com/question/2773823
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Answer:
Inequality Form:
x<7
Interval Notation:
(−∞,7)
Step-by-step explanation:
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