Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:

So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.
Answer:
x = 21
Step-by-step explanation:
You can solve this problem by using similar triangles. You can tell that the two triangles are similar by AAA (since two angles are the same, the third must be too).
Now that we've established that the triangles are similar, you need to identify the corresponding sides:
12 corresponds to 28
9 corresponds to x
In order to find x, you'll need to find the scale factor, which you can find by dividing 28 by 12:
28 ÷ 12 = 7/3
Now that you know that 7/3 is the scale factor, you can multiply it by 9 to find x:
9 × 7/3 = x
x = 63/3
x = 21
Answer:
The picture is a bit too blurry to understand, sorry.
(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]
= [{5^(x+1+x)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1-x)}/6]
= [{5^(x+1)}/6]Ans.
(c). 4a³b²
= 4(3)³(-2)²
Since, a = 3 and b = -2.
so,
= 4(3*3*3)(-2*-2)
= 4(27)(4)
= 108(4)
= 432Ans.
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simplify the equation simplify x^5/8/x^1/6..
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Answer:
64 dollars
Step-by-step explanation:
1st day= $2
2nd day= $4
3rd day= $8
4th day= $16
5th day= $32
6th day= $64