a. 180 degrees
b. 180 degrees
c. transitive property
d. m<3
e. m<3
Supplementary angles are angles that equal 180 degrees.
Transitive property : if two angles (segment) are each congruent to a third segment (angle) then they are both congruent to each other.
Answer:
60480
Step-by-step explanation:
This question has to do with permutations. A permutation is used to find the number of possible outcomes, assuming order matters. In this case, n=9 and r=6. This is written as 
which equals 
. Then, plug this into a calculator to get 60480.
1)we calculate the volume of the right rectangular prism
volume=lenght x width x heigth
volume=12 ft * 8.5 ft * 4 ft=408 ft³
density= mass / volume ⇒ mass=volume * density.
density=0.25 pound /ft³
2) we calculate the mass of the right rectangular prism.
mass=volume * density
mass=408 ft³(0.25 pound / ft³)=102 pounds.
answer: c. 102
Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Answer:
Step-by-step explanation:
Divide
