Vertical angles are formed when two lines intersect, and two angles that are on opposite sides of both lines.
The angles on the west side and the east side form two vertically opposite angles (commonly called vertical angles, but much less descriptive).
It is because the west angle is to the left of both lines, and the east angle is to the right of both lines.
Vertically opposite angles (vertical angles) are congruent. Therefore we can form the equation
110 = 5x
Divide both sides by 5 to get
110/5=22 = 5x/5 = x
or
x=22 degrees.
Answer:
1) C = $25 + $40 × h
2) The domain for the ≠unction is 0 ≤ h ≤ ∞
The range for the function is 25 ≤ C ≤ ∞
3) Continuous
Step-by-step explanation:
1) The given parameters are;
The base fee charged = $25
The amount charged for labor = $40/hour
The total cost for h number of hours is C = $25 + $40 × h
2) The domain for the ≠unction is 0 ≤ h ≤ ∞
The range for the function is 25 ≤ C ≤ ∞
3) The situation is continuous because the different input values of h can be infinite (from o to infinity)
The slope is 2 because remember, y= mx+b
m= slope
the slope is always multiplied by x
Answer:
Step-by-step explanation:
Given
Represent point A as thus;
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
Then, y is negated to give A'