Let the lengths of EH and FG = x
Let the lengths of EF and HG = x-5
Solve,
X + X + (X-5) + (X-5) = 48
4X - 10 = 48
4X = 58
X = 14.5
EH= 14.5
FG = 14.5
EF = 9.5
HG = 9.5
Answer:
238
Step-by-step explanation:
let the number of marbles Sam has be x, then
Jim has x + 92 ← 92 more than Sam
After swap of 18 marbles
Sam has x - 18 and sam has x + 92 + 18 = x + 110
Jim now has twice as many as Sam, that is
x + 110 = 2(x - 18)
x + 110 = 2x - 36 ( subtract x from both sides )
110 = x - 36 ( add 36 to both sides )
146 = x
At first Jim had 146 + 92 = 238 marbles
Answer:
A represents the amount of money in the account. W represents the amount of weeks. -6 represents the change in her balance every week. 40 represents the amount of lunch money she starts with.
Answer: 
The expression is in the form
where a = -25 and b = 18
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Work Shown:
Let
and then square both sides

We'll use both x and x^2 later on.
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The denominator is in the form 4+x. We'll multiply top and bottom by 4-x to then use the difference of squares rule. This will allow us to eliminate the square root in the denominator.


Therefore,

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Checking the answer:
Use a calculator to find that,

We get the same decimal approximation, which helps confirm the correct answer.
Or you could use the idea that if M = N, then M-N = 0 to subtract the original expression M and the final result N. You should get 0 or very close to it.