Answer: yes, it is
Step-by-step explanation:
A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.
n = k(k+1)(k-1)
If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.
Now, if k-1 is a multiple of 3, it can be even or odd.
if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6
if k-1 is odd, then k and k+1 is even, hence, divisible by 2.
As n = k(k+1)(k-1), n is also divisible by 6.
The volume of a rectangular pyramid = 1/3 ×Area×height
=1/3×L×W×H
if the dimensions were doubled
therefore,
V=1/3 × (9×2)×(14×2)×(10×2)
=1/3×18×28×20
=3360 cubic centimetres
Answer:
Step-by-step explanation:
Rational numbers, expressed as decimal numbers, are obtained from the operation of division between the integer of the numerator and the integer of the denominator. Then:
We have been given that Jenna saves $3 for every $13 dollars she earns. Vanessa saves $6 for every $16 she earns.
We can compare the ratios of saved money to earned money by Jenna and Vanessa as:
Let us simplify our equation.
We can see that 
, therefore, Jenna's ratio of money saved to money earned is not equivalent to Vanessa's ratio of money saved to money earned.
The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.
_____
The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.
A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.
