For this case we must find the inverse of the following function:
![f (x) = 2x + 5](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%202x%20%2B%205)
Then, we follow the steps:
We change
by y:
![y = 2x + 5](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%205)
We exchange the variables:
![x = 2y + 5](https://tex.z-dn.net/?f=x%20%3D%202y%20%2B%205)
We clear the variable "y":
![x-5 = 2y\\y = \frac {x-5} {2}](https://tex.z-dn.net/?f=x-5%20%3D%202y%5C%5Cy%20%3D%20%5Cfrac%20%7Bx-5%7D%20%7B2%7D)
We change y for ![f^{-1}(x):](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3A)
![f^{-1}(x) = \frac {x-5} {2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%20%7Bx-5%7D%20%7B2%7D)
Answer:
![f^{-1}(x) = \frac {x-5} {2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%20%7Bx-5%7D%20%7B2%7D)
Its 75 miles per hour hope you understand
Decimal: 25.3333, but converted properly it is
.253333....(repeating) so to the nearest thousands it would be .253
The coordinate of point F will be (1.6,4.2) for the given line segment.
<h3> What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the F intercept 2 and 3
x = [2(4) + 3(0)]/(2+3)
x = 8/5 = 1.6
Similarly
y = [2(0) + 3 (7)]/(2+3)
y = 21/5 = 4.2
Hence "The coordinate of point F will be (1.6,4.2) for the given line segment".
For more about line segment,
brainly.com/question/25727583
#SPJ1
( a )pairs of vertical angles :
AGB and EGD
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.
( b ) a pair of adjacent angles :
AGB and BGC
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
(c) Name a pair if supplementary angles :
AGB and BGD
Two angles are called supplementary when their measures add up to 180 degrees.
(d) A pair of complementary angles :
AGF and FGE
Two angles are called complementary when their measures add to 90 degrees.
(e) Find measure of CGD :
( look into the photo attached for better understanding)
CGD = 55°
<em>hope this helps :)</em>