Answer:
The value of x = 14 ...
The value of ∠AED = ( 7x + 15) = 7(14) + 15 = 113
The value of ∠AEB = 5x-3 = 5(14) -3 = 67
Step-by-step explanation:
=> ∠BEC = ∠AED { vertically opposite angles }
∠AED = (7x + 15)°
=> ∠AEB + ∠BEC = 180° { linear pair }
=> ( 5x-3) + ( 7x+15) = 180°
=> 5x -3 + 7x + 15 = 180°
=> 12x + 12 = 180°
=> 12( x +1 ) = 180°
=> x+1 = 180/12
=> x +1 = 15
=> x = 15-1
=> x = 14
You would first have to convert 5 gallons into ounces. There are 128 ounces in 1 gallon. So 128×5= 640. Now you have 640 ounces. Since Rick is trying to see how many hours it will take to be half full, you divide. So 640÷2=320. Now you have 320 ounces. Now we can find out how many hours it will take by dividing by 5. So 320÷5=64. It will take 64 hours to get Rick's bucket to be half full.
Answer:
(12,10)
Step-by-step explanation:
Let the midpoint of the side opposite this vertex have coordinates B(a,b)
We have the centroid at C(8,7) and the vertex of the triangle at A(0,1).
The centroid divides AB internally in the ratio 2:1
We use the formula:
where m:n=2:1 is the ratio of internal division.
We substitute the coordinates of A and B and the ratio to get:
This should simplify and give us the centroid.
This implies that:
We solve for a and b
Therefore the midpoint of the side opposite this vertex is (12,10)
Answer:
D
Step-by-step explanation:
there isn't much of a harsh trend, but the graph shows that generally when the unemployment is lower, the life expectancy is higher, and when the unemployment is higher, the life expectancy is lower.
This is the concept of density, volume and mass of different materials; To calculate for the volume of an aluminium material with density of 2.375 grams per cubic centimeter and a mass of 0.78 Kilogram we proceed as follows;
Density=mass/volume
making volume the subject we get;
volume=mass/density
thus;
mass=0.78 kg= 780 g
density=2.375 g/cm^3
Hence,
volume=780/2.375=328.421 cm^3
