Answer:
see explanation
Step-by-step explanation:
∠ 1 = ∠ 3 = 106° ( vertical angles )
∠ 2 and ∠ 3 are adjacent angles and supplementary, thus
∠ 2 = 180° - 106° = 74°
∠ 4 = ∠ 2 = 74° ( vertical angles )
I think the correct answer is B
Let
x----------> the first number
y---------> the second number
z--------> the third number
we know that
x+y+z=19-----> z=19-x-y------> equation 1
2x+4y+5z=72-----> equation 2
4x-y=12------> equation 3
substitute equation 1 in 2
2x+4y+5*[19-x-y]=72----> 2x+4y+95-5x-5y=72----> -3x-y=-23
3x+y=23------> equation 4
add equation 3 and equation 4
4x-y=12
3x+y=23
--------------
7x+0y=35--------> x=35/7----------> x=5
4x-y=12------> y=4x-12----> y=4*5-12----> y=8
z=19-x-y------> z=19-5-8----> z=6
the answer is
the numbers are
5
8
6
The scale is likely to show the mass is either 270.9g or 245.1g
Step-by-step explanation:
Actual mass = 258g
Percent error = 5% = ±0.05
Mass shown by scale = Actual mass*percent error
Therefore,
Mass shown by scale = 258+12.9 , Mass shown by scale = 258-12.9
Mass shown by scale = 270.9g , Mass shown by scale = 245.1g
The scale is likely to show the mass is either 270.9g or 245.1g
Keywords: error, percentage
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