Answer:
Triangle is a three(3) sided shape i.e it has 3 sides and angles. Triangle can classify based on its side (length and equality) and size of its angles.
Step-by-step explanation:
A, Classification by sides: There are three types of triangle base on sides. These are:
1. Scalene Triangle : This describe triangle that has none of its side to be equal. i.e none of the three sides has no equal length.
2. Isosceles Triangle : This describe triangle that has two of its side equal. Also two of the angles are equal.
3. Equilateral Triangle : This describe triangle that has all its side equal i.e all three sides have equal length. Also all angles are of equal sizes.
B. Classification by size of angle: There are four types of triangle base on classification by angle:
1. Acute Triangle : This describe triangle with all three angles less than 90 degree.
2. Obtuse Triangle : This describe triangle that has one of its angle greater than 90 degree
3. Right Angled Triangle : This describe triangle with one of its angle equal 90 degree.
Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set: A
gtnhenbr [62]
Answer:
![A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}](https://tex.z-dn.net/?f=A%20%5Ccup%20C%3D%5Cleft%20%5C%7B%20%20%5Ctext%7Bq%2C%20s%2C%20u%2C%20v%2C%20w%2C%20x%2C%20y%2C%20z%7D%20%5Cright%20%5C%7D)
Step-by-step explanation:
Given:
,
,
,
.
To find: The elements in the set
.
Solution:
We have,
![\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}](https://tex.z-dn.net/?f=%5Ctext%7BU%7D%3D%5Cleft%20%5C%7B%5Ctext%7Bq%2C%20r%2C%20s%2C%20t%2C%20u%2C%20v%2C%20w%2C%20x%2C%20y%2C%20z%7D%20%5Cright%20%5C%7D)
![\text{A}=\left \{\text{q, s, u, w, y} \right \}](https://tex.z-dn.net/?f=%5Ctext%7BA%7D%3D%5Cleft%20%5C%7B%5Ctext%7Bq%2C%20s%2C%20u%2C%20w%2C%20y%7D%20%5Cright%20%5C%7D)
![\text{B}=\left \{\text{q, s, y, z} \right \}](https://tex.z-dn.net/?f=%5Ctext%7BB%7D%3D%5Cleft%20%5C%7B%5Ctext%7Bq%2C%20s%2C%20y%2C%20z%7D%20%5Cright%20%5C%7D)
![\text{C}=\left \{\text{v, w, x, y, z} \right \}](https://tex.z-dn.net/?f=%5Ctext%7BC%7D%3D%5Cleft%20%5C%7B%5Ctext%7Bv%2C%20w%2C%20x%2C%20y%2C%20z%7D%20%5Cright%20%5C%7D)
Now,
will contain all the elements in the set
and all the elements in set
.
So,
.
Hence,
.
The inequality 3x-5y ≥ 5 when plotted in an x-y graph, change the inequality with an equal sign to determine the x-y values.
3x -5y = 5
x y
-2 -11/5
-1 -8/5
0 -1
1 -2/5
2 1/5
Plot these point in the graph and this will represent the inequality, shade the upper portion of the graph including the curve represented by the inequality.