<span>The key step is to rewrite the exponential notations so that the exponent is the same. Then you can deal with the addition just as you would adding two decimals. The best way is to rewrite the number with the smaller exponent.
6.30 x 10^11 = 0.0630 x 10^13
Now you are adding 6.28 x 10^13 and 0.0630 x 10^13, and your answer is (6.28 + 0.0630) x 10^13. You can do the addition in the parentheses using the usual rules for sig dig when you add decimals. If necessary, afterward, you can rewrite the exponent again so that the mantissa is between 1 and 10.</span>
The numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
Based on the given data,
m ∠DEA= x + 30,
m ∠AEF= x + 132, and
m ∠DEF= 146 degrees
If the sum of two linear angles is 360° then, they are known as supplementary angles.
∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)
So,
We can write,
m ∠AEF + m ∠DEA + m ∠DEF = 360°
( x + 132) + (x + 30) + 146 = 360°
x + 30 + x + 132 + 146 = 360°
2x + 308 = 360°
2x = 360° - 308
x = 52/2
x =26
Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:
m ∠DEA = x + 30
m ∠DEA = 26 + 30
m ∠DEA = 56 degrees
Also,
m ∠AEF = x + 132
m ∠AEF = 26 + 132
m ∠AEF = 158
Hence,
m ∠DEA + m ∠AEF + m ∠DEF = 360°
56 + 158 + 146 = 360°
360° = 360°
Therefore,
Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
To learn more about information visit Supplementary angles :
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Answer:
x=4
y=10
Step-by-step explanation:
3x +3y = 27
x - 3y = -11 (add these up so 3y will be eliminated and you'll have x only)
4x = 16
now let's eliminate x (you can put 4 instead of x though)
3x + 3y = 27
-3/ x -3y= -11 (multiple the the 2nd equation with -3 to eliminate x )
3x + 3y =27
-3x + 3y =33
6y = 60
Multiply 40 * 3 to find how many video games his shelves can hold (120).
Subtract 85 from 120 to find how many more video games he has room for.
Answer:
the picture is black send another one
