Answer:
43 degrees
Step-by-step explanation:
every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so
90+47 = 137 now we can take 180 - 137 = 43
so your third angle is 43
hope I helped!!
The best answer (and only correct answer) among the answer choices given is:
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[C]: y⁻¹ = (x+6) / 3 .
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Explanation:
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Given the original function: y = 3x - 6 ;
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To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
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x = 3y <span>− 6 ;
Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
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So,we have the inverse function:
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x = 3y − 6 ; we want to write in slope-intercept form;
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Add "6" to each side of the equation:
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x + 6 = 3y − 6 + 6 ;
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x + 6 = 3y ;
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↔ Rewrite as: 3y = x + 6 ;
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Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
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3y / 3 = (x + 6) / 3 ;
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to get:
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y = (x + 6) / 3 ;
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y = (x/3) + (6/3) ;
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y = (x/3 ) + 2 ;
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or; write as: y = (1/3)x + 2 ;
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Now, let us examine the answer choices given:
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Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
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That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
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y⁻¹ = (x + 6) / 3 ;
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y⁻¹ = (x/3) + (6/3) ;
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y⁻¹ = (x/3 ) + 2 ;
___________________________________
or; write as: y⁻¹ = (1/3)x + 2
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That being said:
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The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
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Answer:
See explanation
Step-by-step explanation:
Solution:-
- The effect of an outlier on the mean, median and range is to be investigated.
- Mean: It is the average of all the values. If the outlier "22" is lies on the upper spectrum of the center value. If the outlier is removed the value of center or mean will decrease.
- Median: The median value is mostly defined as the value around which their is a cluster of data. The value of the outlier "22" if close to that cluster of data points is omitted there will be small deviation in the value of median. If the value of the outlier "22" if far away to that cluster of data points is omitted there will be significant deviation in the value of median.
- Range: Is defined by the uppermost and lowermost value from a set of data points that is considered. The value of outlier will equally effect either of these limits depending where the outlier lies close to upper limit or lower limit of the range.
Answer:
985
Step-by-step explanation:
The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.
