Angle 4 is the same as angle 6, 75 degrees, there are alternate interior angles.
= 12 + (- 6)(n - 1 )
This is an arithmetic sequence with n th term
=
+ (n - 1)d
here d = - 6 - 0 = 0 - 6 = 6 - 12 = -6 and
= 12, hence
= 12 + (- 6)(n - 1)
use this formula to find the 30 th term
= 12 + (- 6 × 29) = 12 - 174 = - 162
Answer:
541 (484) 783, 437 (410) 642
Step-by-step explanation:
Required
Fill in the bracket
First, we generate a formula for the first sequence: 541 (484) 783
![484 = 2 * [783 - 541]](https://tex.z-dn.net/?f=484%20%3D%202%20%2A%20%5B783%20-%20541%5D)
![484 = 2 * [242]](https://tex.z-dn.net/?f=484%20%3D%202%20%2A%20%5B242%5D)


Using the same formula for the second sequence: 437 (?) 642
![x = 2 * [642 - 437]](https://tex.z-dn.net/?f=x%20%3D%202%20%2A%20%5B642%20-%20437%5D)
Where x represents the empty bracket
![x = 2 * [205]](https://tex.z-dn.net/?f=x%20%3D%202%20%2A%20%5B205%5D)


The function
is one-to-one and the inverse of
is
.
A function is one-to-one if for
, we show that
.
Take
Let
and
If
, then
.
So,
.
So, the function is one-to-one.
For the inverse of
, replace
with
and solve for
.
So, the inverse of
is
.
Learn more about and inverse of a function here:
brainly.com/question/2541698?referrer=searchResults