N is the number
divided by 6 then n/6
5 was taken away so (n/6)-5
the result is multiplied by 2 so 2((n/6)-5)
result is -12
-12=2((n/6)-5)
divide both sides by 2
-6=(n/6)-5
add 5
-1=n/6
times 6
-6=n
da number was -6
We cannot simplify it because the denominator does not have a common factor with the numarator.
Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:
5x - 5 = 40
Now we’ll solve for x:
5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)
5x = 45
—- —— (Five both side by 5)
5 5
x = 9
Now we left with x, so x is equal to 9.
By the term dilated we mean to say that the dimensions of the new polyhedron is increase to a certain size by that times. For the volume, this dilation scale should be cubed in order to determine the number of times the volume of new figure is larger than the original.
r = (1.5)³
= 3.375
Thus, the volume of the new prism is 3.375 times larger than the volume of the original prism.
