Answer:
A. $6
Step-by-step explanation:
We are given the table representing the number of days and the total charges in dollars.
So, the rate of change of the amount is given by, 
The linear equation representing the situation is,
Total charges = Fee per days + Fixed amount.
i.e. Total charges, y = Rate multiplied by x + Fixed amount (c)
So, substituting the rate and the point (0,6), we get,
6 = 10 × 0 + c
i.e. c = 10
Thus, the equation is,
Total charges, y = Rate multiplied by x + Fixed amount (c)
i.e. y = 10x + 6
Hence, the fixed amount charged is $6.
So, option A is correct.
Using the greatest common factor, it is found that the greatest dimensions each tile can have is of 3 feet.
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- The widths of the walls are of <u>27 feet, 18 feet and 30 feet.</u>
- <u>The tiles must fit the width of each wall</u>, thus, the greatest dimension they can have is the greatest common factor of 27, 18 and 30.
To find their greatest common factor, these numbers must be factored into prime factors simultaneously, that is, only being divided by numbers of which all three are divisible, thus:
27 - 18 - 30|3
9 - 6 - 10
No numbers by which all of 9, 6 and 10 are divisible, thus, gcf(27,18,30) = 3 and the greatest dimensions each tile can have is of 3 feet.
A similar problem is given at brainly.com/question/6032811
Answer:
∠A = 90
∠B = 30
∠C = 60
Step-by-step explanation:
Let ∠B = x
∠A = 3x
∠C = x + 30
Angle sum property of triangle: Sum of three angles of triangle is 180
x + 3x + x + 30 = 180 {Combine like terms}
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 130/5
x = 30
∠A = 3*30 = 90
∠C = 30 + 30 = 60
It is helpful to estimate quotients when the number is very big.
