Answer: You add up all the terms given of EACH angle, and make this an addition problem that is "equal to 180" ; since all triangles have three angles that add up to 180 degrees. Then you solve for "x".
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(as follows) ; to get: " x = 29 ⅔ ° " .
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3x + 4 + 2x + x + 8 = 180 ;
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Combine the "like terms" ;
3x + 2x + x = 6x ;
4 + 8 = 12
So, we have: 6x + 12 = 180 ;
Now, subtract "12" from each side of the equation:
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6x + 12 − 12 = 180 <span>− 12 ;
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to get:
6x = 178 ;
Now, divide EACH SIDE of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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6x / 6 = 178 / 6 ;
to get: x = 178/6 = 29 ⅔ ° .
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x = 29 ⅔ ° .
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Answer:
684 tickets were sold for each performance
Step-by-step explanation:
8,208 divided by 12 = 684
Step-by-step explanation:
See attached picture.
First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.
When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.
Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.
When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.
So the quotient is x − 9, and the remainder is 56.
Answer:
We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.
Answer:
h(0) = -4
Step-by-step explanation:
Step 1: Define
h(x) = -3x - 4
h(0) is x = 0
Step 2: Substitute and Evaluate
h(0) = -3(0) - 4
h(0) = 0 - 4
h(0) = -4
