In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°.
2 answers:
Answer:
The measure of angle 7 is 76°.
Step-by-step explanation:
If two lines intersect each other, then the alternative angles are known as vertically opposite angles.
The vertically opposite angles are always congruent.
From the given figure it is noticed that the angle 2 and 4 are vertically opposite angles.
Divide both sides by 7.
The value of x is 18.
From the given figure it is noticed that the angle 5 and 7 are vertically opposite angles.
Substitute x=18.
Therefore the measure of angle 7 is 76°.
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Answer:
The Taylor series of f(x) around the point a, can be written as:
Here we have:
f(x) = 4*cos(x)
a = 7*pi
then, let's calculate each part:
f(a) = 4*cos(7*pi) = -4
df/dx = -4*sin(x)
(df/dx)(a) = -4*sin(7*pi) = 0
(d^2f)/(dx^2) = -4*cos(x)
(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4
Here we already can see two things:
the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.
so we only will work with the even powers of the series:
f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....
So we can write it as:
f(x) = ∑fₙ
Such that the n-th term can written as:
dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)
then the geometry is zoomed on the left side
