83x+P=83x+Q
subtract 83x from each side
P=Q
if P does not Q there are no solutions
the lines would be parallel and never intersect if Q does not equal P
The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet
<h3>The length of each side of the polygon?</h3>
To do this, we simply calculate the number of units on each side of the polygon.
So, we have:
S1 = 5 units
S2 = 8 units
N1 = 13 units
E1 = 7 units
W1 = 3 units
W2 = 4 units
<h3>The perimeter of the polygon</h3>
This is the sum of the side lengths.
So, we have:
Perimeter = 5 + 8 + 13 + 7 + 3 + 4
Perimeter = 40
Each unit equals 25 feet.
So, we have:
Perimeter = 40 * 25 feet
Evaluate
Perimeter = 1000 feet
Hence, the perimeter of the factor is 1000 feet
Read more about perimeter at:
brainly.com/question/24571594
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Answer:
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
It would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Step-by-step explanation:
We have these following probabilities.
A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so 
.
In addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. 
is the probability that the person is a male, given that he/she jogs. So 
The Bayes theorem states that:
In which 
is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.
So
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
A probability is unusual when it is smaller than 5%.
So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12
The answer would be 102 <span>÷ 34 = 3</span>
