Answer:
YOUR A DOG ..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You need the odd integers to be separated by 2. One will not work.
If n is odd, n + 1 will be even. You cannot get an exception to that. Try it.
1 is odd but 1 + 1 is even.
n and n + 3 produces 1 odd and 1 even. If n is odd then since 3 is odd when the two are added together, you get an even. Again try it
n = 5
n + 3 = 8
C: is not the answer.
D can't work either. If n is odd then n + 2 will be odd but n + 1 is even.
The Answer is B.
n(n + 2) = 195
n^2 + 2n - 195 = 0
(n - 13)(n + 15)
n can be 13 and n + 2 can be 15
13 * 15 = 195
But here's something you may not know
n can be - 15 and then the other odd number would be - 13
3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that
. Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles
and
, therefore, by the CSCT these corresponding sides have to be congruent.