Answer:
First choice
Step-by-step explanation:
The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.
Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.
Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.
The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.
<h3>
Answer: choice B) 36</h3>
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Explanation:
The vertical sides, when read from left to right, can be divided to get this fraction: 9/90
Following the same order and direction, we divide the slanting corresponding sides to get: b/360
The fractions we constructed are equal to one another, as the triangles are said to be proportional.
We have the fraction 9/90 = b/360
Lets cross multiply and solve for b
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9/90 = b/360
9*360 = 90*b
3240 = 90b
90b = 3240
90b/90 = 3240/90
<h3>b = 36</h3>
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A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.
Answer:
The answer and steps are in the picture below
Step-by-step explanation:
This is the solution to your question.
Answer:
x = 41
Step-by-step explanation:
We know these angles will be equal to each other (they are across from each other, I honestly forget the term ) so we can set up an equation
Our equation from given: 104 = 3x - 19
Adding 19 to both sides 123 = 3x
Dividing both sides by 3: 41 = x
Answer: x = 41
