Answer: k = 55 degrees
Step-by-step explanation:
to find J, subtract 122 from 180, you get 58. The total number of degrees is 180. Since L is given as 67, and 67+58=125. Simply subtract 125 from 180 which is 55 degrees
Answer:
60
Step-by-step explanation:
Just use similar triangles.
12/10 = 72/x
Now solve for x.
x = 72 * 10 / 12 = 60
Answer:
108°
Step-by-step explanation:
Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).
The sum of all interior angles of pentagon can be calculated using following formula

All interior angles in regular pentagon are of equal measure, so

Thus, the measure of each angle formed by the lights on the perimeter is 108°.
Picture of the question is attached below.
Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.
Step-by-step explanation:
The model depicted by the line equation:
y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.
-5.9x approximately -6x decrease for every 10F temperature increase.
Answer:
The period of the function is 
Step-by-step explanation:
The graph completes one cycle in the interval
.
The length of this interval is
.
The graph completes another cycle within the interval
.
The length of this interval too is
.
This means that after every 10 units, the graph repeats itself. Therefore the period is 10.
The graph is a sine function because it is symmetric about the origin.
Its equation is
.