Answer:
the correct answer is option A.
Step-by-step explanation:
given that JK parallel to MN.
therefore angle JKL = angle LMN
and angle KJL = angle LNM
also angle JLK = angle MLN since vertically opposite angles.
we can say that triangle JLK ~ triangle NML.
as angle K coincides with angle L and angle J coincides with angle N
The smallest possible number could have been 455,500
Answer:
B
Step-by-step explanation:
Plug in a x-value and see which table matches the result. Plug in 1.
f(x) = 7 - 4.5x
f(1) = 7 - 4.5(1)
f(1) = 7 - 4.5
f(1) = 2.5
The table that matches an input of 1 with an output of 2.5 is B.
We can write this as
(x - 5)^2 + (y + 3)^2 = r^2
where r = radius
Plugging in the point (2,5) we have
(2-5)^2 + (5+3)^2 = r^2
r^2 = 9 + 64 = 73
so the required equation is
(x - 5)^2 + (y + 3)^2 = 73
We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.
We know that height of sphere is equal to its radius. This means that 
.
Using , we will get:
Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is 
times volume of cylinder.
Therefore, the volume of the sphere would be 28 cubic meters.
