Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP




a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to
is
. Thus:
≅ 
c. Since
≅
, therefore:

(substitution)
Add 1 to both sides


Divide both sides by 3


2. a. Slope of LK = 
Slope of LM = 
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):






✍️Length of LM is the distance between L(-7, 4) and (-2, 1):





(nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
Answer:
3
Step-by-step explanation:
as a person who answers in the mathematics session
i will tell you that the answer is 3
Answer:
450
Step-by-step explanation:
639 is what percent of 142? = 450.
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:

Answer:multiply by three
Step-by-step explanation: