Answer:
<em>x = 5</em>
Step-by-step explanation:
The figure shows two pairs of opposite sides parallel, so quadrilateral KLMN is a parallelogram. Angles N and L are opposite angles in a parallelogram, so their measures are equal.
m<N = m<L
5x = x + 20
4x = 20
x = 5
Given :
New York City has a population of 8.55 million and 300 square mile area .
Manhattan has 1.64 million and 23 square miles area .
To Find :
How much greater is the population density of Manhattan than New York City.
Solution :
Population density of New York City :

Now ,

Therefore , population density of Manhattan is
greater than New York City .
Hence , this is the required solution .
Deposit = $75 = 30%
(30/100)x = 75
(3/10)x = 75
0.3x = 75
x = 75/0.3
x = 250
Total cost = $250
deposit = $ 75
Total - deposit = $175
Thus, Marc owe $175 for the rug.
He knows he made a mistake so quickly because he substitutes 5 for x in 3x - 7 = x/2
<h3>How did he know so quickly that he made a mistake?</h3>
The equation is given as:
3x - 7 = x/2 + 9
The solution is given as:
x = 5
To quickly know he made a mistake, we substitute 5 for x in 3x - 7 = x/2 + 9
So, we have
3 * 4 - 7 = 5/2 + 9
Evaluate
12 - 7 = 2.5 + 9
Evaluate the like terms
5 = 11.5
The above equation is false.
Hence, he knows he made a mistake so quickly because he substitute 5 for x in 3x - 7 = x/2
Read more about equations at:
brainly.com/question/723406
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