160/55.
Simplified version is 32/11
Answer:
<u>The regular polygon has 13 sides</u>
Correct statement and question:
If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?
Source:
1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.
Step-by-step explanation:
Let's recall that the formula of the sum of the interior angles of any polygon is:
Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.
Therefore, replacing with the value we know:
1,980 = (n-2) * 180
n - 2 = 1,980/180
n - 2 = 11
<u>n = 13</u>
Answer: 0.8926
Step-by-step explanation:
Given : A shipment of 50 inexpensive digital watches, including 10 that are defective.
The probability that a digital watch is defective 
Sample size : n=10
Also, they reject the whole shipment if 1 or more in the sample are found defective.
Using the binomial probability formula :

Let x be the random variable that represents the number of defective watches.
The probability that the shipment will be rejected :-

Hence, the probability that the shipment will be rejected = 0.8926
The diagram of the right-angled triangle is shown below
Using the Pythagoras theorem
6² = a²+a²
36 = 2a²
18 = a²
a = √18 = 3√2
multiply both sides by 3
Step-by-step explanation:
3(x/3)+3(5)<12×3
x+15<36
x<36 _15
x<21