Answer:
x=7
Step-by-step explanation:
We have been given all exterior angles of a quadrilateral which is a polynomial having 4 sides
We know that sum of all exterior angles of a regular polygon is always 360 degree.
So we can all given exterior angles and set it equal to 360
(12x+37)+(12x-2)+(46)+(20x-29)=360
12x+37+12x-2+46+20x-29=360
12x+12x+20x+37-2+46-29=360
44x+52=360
44x=360-52
44x=308
divide both sides by 44
x=7
<u>Hence final answer is x=7.</u>
Answer:
Option D is correct.
Step-by-step explanation:
Option D is correct.
y < 2 and y >= x
Because the dotted line shows that y < 2 and y >=x is shown is represented by diagonal line.
Answer: 2/3 * (× + 2 )
Step-by-step explanation:
((x²-4)/(3x)) ÷ ((x-2)/(2x)). ⇒ [ ( ײ - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]
Simplifying by x [ 2 * ( ײ - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }
Simplifying by ( ×+2) 2/3 * (× + 2 )
1) the form of the equation may be written as y = A(X - Xo)(X - X1)
Where Xo and X1 are the two roots of the equation.
2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40
=> y = A (X + 40) (X - 40) = A (X^2 - 1600)
3) The height, at X = 0 is 25
=> A(0 - 1600) = 25
=> -1600A = 25 => A = -25 / 1600 = - 1/64
4) The equation is y = - [1/64] (X^2 - 1600)
5) You can present it in different equivalent forms.
Some of those other forms are:
1) - 64y = (x^2 - 1600)
2) x^2 = - 64y + 1600
3) X^2 = - 64 (y - 25)
Answer:
The amount received after 5 years is 1827.39
Step-by-step explanation:
The amount received by Bridget from his grandfather as the birthday gift = 1400
.
Since he wants to deposit it and save for college, he earns interest rate = 5.4%
He deposited this money for the years = 5 years.
Here, the Present value (PV) is = 1400
Interest rate ( r ) = 5.4% or 0.054
Since the interest rate is compounded semi annually, So, n = 10
Now if we calculate the future value of 1400 with interest rate 5.4 percent:
Therefore, 1827.39 will be the total money in his account after five years.
