Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
Extrapolation is the process by which a value is estimated by using a previously known set of numbers. Interpolation is where a value is estimated between two known values. In this case, if you wanted to predict the value of the y-variable when the x-variable is 15, you would be extrapolating beyond the known data-set.
First, in order to find the length of side w, you must first find the angle W.
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment.
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.

Now multiply sin 50 on both sides. It can be written like so:

Now plug this in a calculator.
Answer is 39.5
If there are 16 cups in one gallon, each gallon u add 16. If you have 3 gallons you add 16 3 times. So to get your answer you multiply 16 by three which is 48 cups.