Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
Answer:
4/7
Step-by-step explanation:
5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7
Answer is 8 hope this helps
2 times a number minus 9 is less than or equal to 21. and in inequality form that’s: 2x - 9 >_ 21 and u make a number line and a closed circle on 15 and an arrow going right. i hope i understood your question right
<h3>
Answer: A) 46</h3>
Explanation:
The angles shown are same side interior angles.
For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.
28+(3x+14) = 180
28+3x+14 = 180
3x+42 = 180
3x = 180-42
3x = 138
x = 138/3
x = 46
