Answer:
2 2/3
Step-by-step explanation:
For each of her snack bag, she can fill it with a 1/3 cup of pretzels
1/3 x 8 = 2 2/3 cups
The polynomial x3+8 is equal to (x+2)(x2-2x+4)
Find the difference vertically( North and South) and the difference horizontally ( East and West)
Then use the Pythagorean Theorem.
600 North - 200 South = 400 m
400 West - 100 East = 300 m
Now using the Pythagorean Theorem;
400^2 + 300^2 = total displacement^2
Total displacement^2 = 160,000 + 90,000
Total displacement^2 = 250,000
Total displacement = √250,000
Total displacement = 500 m
x/.75=x-56/0.4
0.4x=.75x-42
-0.35x=-42
x=120
I set up a proportion in which x=the tank when it is 3/4 full. When the tank is 3/4 full, solving the proportion tells us the x=120 litres. 120/3=40, and 120+40 is 160, showing that a tank completely full would indeed hold 160 litres.
Hope this helps!
Answer: Segment GD is parallel to segment HC.
Step-by-step explanation:
In ΔAHC
AG=GH (given)...........1
As BD is the median of ΔABC bisecting AC at D
∴AD=DC.........2
⇒
(from 1 and 2)
⇒segment GD is dividing the sides AH and AC in same ratio.
Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.
Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
