Answer:
Explanation:
Seven
I imagine that 7 is the one giving you the problem. There are 29 steps between where A is and where B is. The problem is in the directions. If you follow the first direction, there are 29 squares separating them meaning that B and starts on square 31 and A starts on one. If, however, you read on, your find out that B actually starts on 29. Which is it? If you follow the first direction, you get the both land on 13. Here's how.
A's motion is 3 up 1 back. His net motion is that he moves 2 forward.
B's motion is 5 down and 2 up. His not motion is - 3 each time
A B
1 31
3 28
5 25
7 22
9 19
11 16
13 13
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Let's do it again starting with the second direction
A B
1 29
3 26
5 23
7 20
9 17
11 14
13 11 and they miss but keep going. You might have to go another round
15 8
17 5
19 2 Now if you try going forward you can't so B uses As rule.
21 4
23 6
25 8 And these two will never meet on this round.
I think you should follow the first rule.
27 10
28 12
25 14
22 16
19 18 another miss.
Well you can carry it on. I would ask your teacher about this one.
Eight
I can give you an answer, but I don't know how you would find it on your own. The smallest number I found was 301
You can see that 2 and 5 do leave a remainder of 1.
You can also see the 301 / 3 leaves a remainder of 1
What about 4? 301 / 4 = 75 with a remainder of 1.
301 / 6 = 50 with a remainder of 1.
301/7 = 43 with no remainder.
What a strange question.
All of these from 2 to 6 divide into 300 evenly. 301 gives a remainder of 1.
But 301 = 7 * 43
Nine
Let the smaller to the 2 angles = x
Therefore the larger one is 3x + 2
The third angle = 90 degrees.
3x + 2 + x + 90 = 180 Combine like terms on the left.
4x + 92 = 180 Subtract 92 from both sides.
4x = 180 - 92
4x = 88 Divide by 4
x = 88/4
x = 22
So the three angles are
22
66 + 2 = 68
90
This problem seems much easier than the other 2.