Quadrilateral ACEG≅Quadrilateral NMRP Which statement is true?
1 answer:
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Answer:
<em>Number of nickels = 6</em>
<em>Number of dimes = 14</em>
<em>Number of quarters = 23</em>
<em></em>
Step-by-step explanation:
Total number of coins = 43
Let number of nickels = n
Let number of dimes = d
Let number of quarters = q
Money in n nickels =
Money in d dimes =
Money in q quarters =
Total money = $7.45
The sum of the numbers of nickels and dimes is 3 less than the number of quarters.
i.e.
Let us put the value in (1):
Putting the value of q in (1) and (2):
n+d = 20 .... (3)
(4) - (3):
d = 14
Now, from (3):
n = 6
<em>Number of nickels = 6</em>
<em>Number of dimes = 14</em>
<em>Number of quarters = 23</em>
Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).
So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector, , has been shown in the figure.
The magnitude of the vector:
The direction of a vector is the angle made by a vector with the positive direction of the x-axis.
From the figure,
Hence, the required vector having a magnitude and direction
has been shown in the figure.
