256
Just keep muliplying the number
8*2
16*2
32*2
64*2
128*2
<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
Conversions: to smallest (inches)
n= 22 inches
b= 2 1/3 yard = 84 inches
t= 12 1/2 feet = 150 inches
total space = t
night stand = n (2n for two nightstands)
bed=b
b+2n has to be < or = to t
84+2(22)=x
84+44=128
128 is < 150
therefore the answer is yes they will fit with 22 inches left over.
