Answer:
see explanation
Step-by-step explanation:
Note there is a common ratio between consecutive terms of the sequence, that is
- 450 ÷ 15 = 13500 ÷ - 450 = - 405000 ÷ 13500 = - 30
Thus to obtain the next term in the sequence multiply the previous term by - 30
start with 15 and multiply by - 30
Answer:The answer is =3,7
Step-by-step explanation:
Answer:
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To solve this, we work out the perimeter of the hexagon, by finding x, and we work out the perimeter of the pentagon by find y, and the compare them:
Perimeter of the Hexagon:
Since it is a regular hexagon, all the sides are the same: This means we can say that:
4x - 2 = x + 4 (Now lets solve this)
4x = x + 6 ( Add both sides by 2 to get 4x alone)
3x = 6 (Subtract both sides by x, to collect the x values)
x = 2 (Divide both sides by 3 to get what just x is)
Now we work out the length of one side by substituting the value for x in
x + 4 = 2 + 4
= 6
Now that we know the length of one side, we can multiply that by 6 to get the perimeter, because a hexagon has six sides.
6 * 6 = 36
Perimeter of the Pentagon
Since it is a regular Pentagon, all the sides are the same, just like the hexagon. This means we can say that:
5y - 8 = 2y + 1 (Now we solve this like we did before)
5y = 2y + 9 ( Add both sides by 8 to get 5y alone)
3y = 9 (Subtract both sides by 2y, to collect the y values)
y = 3 (Divide both sides by 3 to get what just y is)
Now we work out the length of one side by substituting the value for x in
2y + 1 = (2 * 3) + 1
= 7
Now that we know the length of one side, we can multiply that by 5 to get the perimeter, because a pentagon has 5 sides.
5 * 7 = 35
Since the perimeter of the hexagon is 36, and the perimeter of the pentagon is 35, we can see that:
The hexagon has the larger perimeter.
Answer
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Step-by-step explanation:
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