Answer: ∠JKM =
and
∠JKM = 
Step-by-step explanation:
Since we have given that
∠JKM=10y+6
∠MKL=8y-6
Since they are linear pairs ,
So, 
∠JKM = 
and
∠MKL = 
Answer:
A) 0.47 km
B) 4.88 km
C) 6.25°
Step-by-step explanation:
Please refer to the attached image for explanations
Answer:
C. (2, 6] hour jobs cost $100
Step-by-step explanation:
Let's consider each of these statements in view of the graph:
- A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
- A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
- Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
- Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.
Answer: The correct answer is Volume Cone = one-third pi t squared k
Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.
The volume of a cylinder is given as;
Volume cylinder = pi x r squared x h (that is πr²h)
Also the volume of a cone is given as;
Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)
However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.
Therefore the volume of the cone should now be re-written as;
Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>
Answer: The system of equations has NO SOLUTION.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the following system of equations:

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

You can identify that:

Apply the same procedure with the second equation. Then:

You can identify that:

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.