Bike path A will be a total of about 9.3 times, so 9, and bike path B will be about 5.3 times.
Answer:
(below)
Step-by-step explanation:
c) the angles are in the interior on the same side of the transversal, making them supplementary
equation: 2x + 20 + 120=180 and then when solved you would get x =20
d) the angles are corresponding, which makes them congruent
equation: 3x + 10 = 100 and then when solved you would get x = 30
The variance is the total of the squared distances of the given data from the mean.
This can be calculated through the equation,
σ² = summation of X² / N - μ²
where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.
summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124
Substituting these values to the equation for variance,
σ² = (81200/5) - 124² = 864
Thus, the variance is equal to 864.
Answer: The axis of symmetry is x=1.
Explanation:
The given function is,

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.
The axis of symmetry of a parabolic function
is a vertical line,

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,



Therefore, the axis of symmetry is x=1.
Answer:
A. 9.18 x 
B.12002
Step-by-step explanation: