What is the value of x? º A triangle with base on an extended line. Two angle measures are given. Top interior angle is twenty-eight degrees. Lower left exterior angle is seventy-one degrees. Lower right interior angle is labeled x degrees.
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Interior angle of a triangle and its corresponding exterior angle must have a sum of 180° when its line is extended.
Top interior angle is 28°
Lower left exterior angle is 71°
Lower right interior angle is x°
Get the left interior angle.
Exterior angle + Interior angle = 180°
71° + Interior angle = 180°
Interior Angle = 180° - 71°
Interior Angle = 109°
Top Interior angle + Left Interior Angle + Right Interior angle = 180°
28° + 109° + x° = 180°
x = 180° - 28° - 109°
x = 180° - 137°
x = 43°
The lower right interior angle is 43°
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a.)
784
/ \
2 392
/ \
2 196
/ \
2 98
/ \
2 49
/ \
7 7
√784 = 7² × 2^4
= 7² × 4²
= 28²
So, √784 = 28
b.)
2025
/ \
3 675
/ \
3 225
/ \
3 75
/ \
3 25
/ \
5 5
2025 = 5² × 3^4
= 5² × 9²
= 45²
So, √2025 = 45
c.)
9261
/ \
3 3087
/ \
3 1029
/ \
3 343
/ \
7 49
/ \
7 7
9261 = 7³ × 3³
= 21³
So, ³√9261 = 21
d.)
46656
/ \
2 23328
/ \
2 11664
/ \
2 5832
/ \
2 2916
/ \
2 1458
/ \
2 729
/ \
3 243
/ \
3 81
/ \
3 27
/ \
3 9
/ \
3 3
46.656 = 2³ × 3³ × 2³ × 3³
= 6³ × 6³
= 36³
So, ³√46.656 = 36
Hope it helps and is useful:)
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the notebook
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Rounding numbers make numbers easier to work with. The tenths is the place found immediately to the right of the decimal point. The next place is called the hundredths. If the number in the hundredths place is 5 or above, we add one to the number in the tenths place and let the other numbers go. If the number in the hundredths place is four or below, we let the other numbers go.
First. 200
200 is already rounded to the nearest tenth. Note that there is no any decimal point.
Second. 19.30 seconds
The number in the tenth place is 3 and the number in the hundredth place is 0, that is, zero is less than four, therefore we can say that this number rounded to the nearest tenth is:
19.30 or 19.3
Third. Usain bolt, jamaica
We can't round words. This concept is apply only to real numbers.
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121/100 is equivalent to 1 21/100
you can solve for this by subtracting 100, the denominator, from 121, the numerator. 121-100=21. So we know that 121/100 can be simplified to one whole with 21/100 remaining...
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15 pint is 30 cups
7 cup is 56 ounces