The expression θ = - 50° ± i · 360°,
represents the family of all angles <em>coterminal</em> with - 50° angle.
<h3>What is the family of angles coterminal to a given one?</h3>
Two angles are <em>coterminal</em> if and only if their end have the <em>same</em> direction. Two <em>consecutive coterminal</em> angles have a difference of 360°. Then, we can derive an expression representing the family of all angles <em>coterminal</em> to - 50° angle.
θ = - 50° ± i · 360°, ![i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
The expression θ = - 50° ± i · 360°,
represents the family of all angles <em>coterminal</em> with - 50° angle.
<h3>Remark</h3>
The statement is incomplete and complete form cannot be reconstructed. Thus, we modify the statement to determine the family of angles coterminal to - 50° angle.
To learn more on coterminal angles: brainly.com/question/23093580
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Answer:
1. 30
2. 13 meters
Step-by-step explanation:
Let the number be x.
x - (10% of x) = 27.
x - 0.1x = 27
0.9x = 27.
x = 27/0.9
x = 30
The number is 30
Second question:
Length = 2x - 3
Width = x
Perimeter = 72
Perimeter = 2(l + w)
= 2(2x - 3 + x) = 72
4x - 6 + 2x = 72
6x = 72 + 6
6x = 78
w = 78/6 = 13
The width is 13 meters
(3, -7) and (-1, 1)
To find slope of a line using 2 points
we use formula
![\frac{y_2 - y_2}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_2%7D%7Bx_2-x_1%7D)
(3, -7) is (x1,y1) and (-1, 1) is (x2,y2)
Here x1= 3 and y1= -7
x2=-1 and y2=1
![\frac{1- (-7)}{-1-3}](https://tex.z-dn.net/?f=%5Cfrac%7B1-%20%28-7%29%7D%7B-1-3%7D)
=-2
slope of a line using 2 points (3, -7) and (-1, 1) is -2
Adjacent angles
Step-by-step explanation:
Adjacent = next to / side by side