Answer:
1) True
2) false
3) false
4) faIse
Did I give right answer or not please tell me ok
We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.
Once we know that , we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say
Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.
All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.
D, because if you expand it, 780000, then you divide it by the number of hours in a day, you get 32500. Then you put it into scientific notation, 3.250 x 10^4
2/5 , i dont have an explanation but maybe try that! I just did the math on paper
Answer:
Note that when you derive sin(x), you loop betweeen
cos(x)
-sin(x)
-cos(x)
and again sin(x)
Also, sin(π/2) = 1, -sin(π/2) = 0 and cos(π/2) = -cos(π/2) = 0
Therefore, Rn(x) will have an expression of this type
Note that this is the tail of an alternating series with the generic term being
(x-π/2)^{2k}/(2k)! (note that the series takes even entries thats why the 2k); which limit is equal to 0 for any fixed value of x because we have a factorial dividing. Then, for the Leibnitz criterion, the tail of the series tends to 0, and thus, we can conclude that the Taylor series represents sin(x) for all x.