1) Reflecting over y=x means
. So, the coordinates of the image are:

2) Rotating 90 degrees counterclockwise about the origin means
, so the vertices of the image are:

3) The vertices of the image are:

2<2x+8<18
-8 -8 -8
-6<2x<10
everything divides by two
the answer is -3<x<5
...maybe lol i'm new
Answer:
∠DFE=119°
Step-by-step explanation:
step 1
Find the measure of angle BFD
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
∠BFD=(1/2)[arc BD+arc CE]
substitute the given values
∠BFD=(1/2)[38°+84°]
∠BFD=61°
step 2
Find the measure of angle DFE
we know that
∠BFD+∠DFE=180° -----> linear pair (supplementary angles)
substitute
61°+∠DFE=180°
∠DFE=180°-61°=119°

I hope this this is what you need ..
You can read the slope of the line directly from the graph:
m = rise/run = 1/1 = 1. Also easily visible is the y-intercept, b = 1.
Thus, this linear function has the equation f(x) = x + 1.