Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
The solution for the system of equations are:

Attached is the graph of lines y=3x-2 and y=-2x+5.
Answer:
b hopefully this helps you with work
Answer: The required length of the segment AA' is 11 units.
Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.
We are to find the length of the segment AA'.
We know that
if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).
So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).
Now, we have the following distance formula :
The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

Therefore, the length of the segment AA' is given by

Thus, the required length of the segment AA' is 11 units.