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°
Read more about Angles in a Polygon at; brainly.com/question/1592456
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You can write it several ways. Here are two:
1) Proportion
160/1.00=x/0.95
(160 is the whole, 1.00 or 100%, and x is 95% of the whole. Solve for x.)
x=<u>160*0.95<em /></u> = 152/1 = 152<u>
</u> 1.00
2) Simple multiplication expression
"of" in math almost always means "multiply"
95% becomes 0.95. Multiply 0.95 by 160 to get your answer.
0.95*160=152
Either way, you get <u><em /></u><em />152, so that is your final answer.
Answer:
82.5 km
Step-by-step explanation:
Given:
Cross-multiply.
2x = 11(15)
Divide both sides by 2 and solve for x.
x = 82.5 km
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