It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
<h3>How to find the sum of angles of a polygon?</h3>
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
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Answer:
1. 4
2. 10
3. 14
Step-by-step explanation:
A = -6
B = 0
C = 4
D = 8
1. BC = |0 - 4| = 4
2. AC = |-6 - 4| = |-10| = 10
3. AD = |-6 - 8| = |-14| = 14
Answer:
dV(t)/dt = kV(t)
Step-by-step explanation:
Since the rate of change of the car’s value in dollars per year dV(t)/dt is proportional to the car’s value V(t), ten
dV(t)/dt ∝ V(t)
dV(t)/dt = kV(t)
Answer:
x = 50
Step-by-step explanation:
The angles 70, 60, and y are supplementary, meaning that the sum of them is 180. Therefore,
70 + 60 + y = 180 and
y = 50
That means that x = 50 as well, since vertical angles are congruent
A = hb/2
A = (15)(11) / 2
A = 165/2
A = 82.5 <===