Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
To prove <em>similarity</em>, you must show two corresponding angles are congruent. Thus, you can ignore any answer choices involving congruence of segments. The angles in the 2nd answer choice are not corresponding, so that, too, can be eliminated.
The appropriate choice is the last one:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Answer:
C. 32 cubic feet
Step-by-step explanation:
The volume of a cylinder can be written in terms of diameter as ...
V = (π/4)d^2·h
If water fills the 6-foot height to only 4.5 feet, then the volume of water is ...
V = (π/4)(3 ft)^2(4.5 ft) ≈ 31.81 ft^3
The volume of water in the container is about 32 cubic feet.
Answer:
2565 square ft
Step-by-step explanation:
675 x 3.8 = 2565 square feet
He used the Commutative Property, not the Associative Property.
Answer:
100 resident/km
Step-by-step explanation:
In order to find the population density, we have to calculate the area of the township first.
We know that:
L = length = 5 km
W = width = 4 km
So the area of the township is
A=L\cdot W = 5 \cdot 4 = 20 km^2A=L⋅W=5⋅4=20km
2
Now we can find the population density by using
d=\frac{N}{A}d=
A
N
where N is the number of residents, and A is the area.
Substituting N = 2000, we find:
d=\frac{2000}{20}=100 res./km^2d=
20
2000
=100res./km
2
so, 100 residents per kilometer squared