Since angle 2 is 120 degrees, the corresponding angle is 6, so 6 will also be 120 degrees
6 and 8 should form 180 degrees
180 - 120 = 60
so angle 8 is 60 degrees
Answer:
yes, -6 because -6^2 is -36.
Answer: 2 locations.
Step-by-step explanation:
This segment will be the hypotenuse, now, if we find the exact middle of this segment and we draw a line that cuts perpendicularly the segment by the middle, then we can put a point in any point of that line (except in the segment because this will make a degenerate triangle). Then we connect both extremes of the segment with that point, and for how we find it, we know that these new lines will have the same lenght, so this will be an isosceles triangle.
Now, if we want that the triangle is also a right triangle, then the angle between the new sides must be 90°, if we put the point near the segment, the angle will be larger than 90°, and if we put it really far away, the angle will be smaller than 90°. So for each side of this line, we have only one point where the angle is exactly 90°.
this means that we have 2 locations that can create a non-degenerate isosceles right triangle.
Answer:
-5/24
Step-by-step explanation:
Simplify the denominators
-14/24 + 9/24
Add them but keep the denominator
-5/24
Let’s make up a random function, say:
f(x) = x^6
Now by power laws we can break this up into two parts:
f(x) = (x^2)*(x^4)
Since we are now multiplying two functions we can apply the product rule:
f’(x) = (2x)(x^4) + (x^2)(4x^3)
Now we can simplify since we are only dealing with x’s:
f’(x) = 2x^5 + 4x^5
f’(x) = 6x^5
If we do the power rule of our initial function, you will find that the two are equal.
Hope this helps!!
