Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is , where n = total number of sides.
Thus, we substitute n for 10, and you get:
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.
Let the number be x and 2x-5 from the above given condition
x+2x-5=70
or
3x=75 s0 x=25
Hence, the number are 25 and 45
Answer:
A
Step-by-step explanation:
R+65=135.
Graphing the system of equations is shown in figure attached.
Solution set is (2,-4). The lines will intersect at (2,-4)
Step-by-step explanation:
We need to graph the system of equations.
First we will find value of x and y
Let:
Add eq(1) and eq(2)
Putting value of x in eq(1) and finding y
So, y=-4
Graphing the system of equations is shown in figure attached.
Solution set is (2,-4). The lines will intersect at (2,-4)
Keywords: System of equations
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Answers:
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Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
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So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
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Side note: The side sqrt(5) isn't used at all.