Given parameters:
Each interior angle = 150°
Unknown:
The number of sides of this regular polygon = ?
Solution:
To find the sum of internal angles of a regular polygon, we use the expression below;
(n - 2) x 180 = sum of internal angles of a polygon
n is the number of sides,
Also, the sum of the internal angles of a polygon = number of sides x internal angles;
So;
(n-2) x 180 = 150 x n
Solve for n;
180n - 360 = 150n
180n - 150n = 360
30n = 360
n = 12;
Therefore, the number of sides is 12
D. An X-Y coordinate system, with the origin at 0° latitude and 0° longitude
Answer:
its A i think
Explanation:
Because if you look at the map in some parts the wind goes against the currents of the water
Identify the explicit function for the sequence in the table. x:1, 2, 3, 4, 5, y: 8, 14, 20, 26, 32,
zhuklara [117]
Answer:
The explicit function is y = 6x + 2
Explanation:
Since the change in x, Δx is constant and Δx = 1 and also, the change in y, Δy is constant and Δy = 6, we use the equation of a straight line in gradient form.
So, (y - y₁)/(x - x₁) = Δy/Δx where x₁ = 1 and y₁ = 8
So, substituting the values of the variables into the equation, we have
(y - y₁)/(x - x₁) = Δy/Δx
(y - 8)/(x - 1) = 6/1
(y - 8)/(x - 1) = 6
cross-multiplying, we have
(y - 8) = 6(x - 1)
expanding the brackets, we have
y - 8 = 6x - 6
adding 8 to both sides of the equation, we have
y - 8 + 8 = 6x - 6 + 8
y + 0 = 6x + 2
y = 6x + 2
So, the explicit function is y = 6x + 2
