Answer:
x=14.5
If the answer is 14.5 move to J.
Explanation:
The sum of adjacent angles is 180
(8x-11)+(4x+17)=180
12x+6=180
12x=174
x=14.5
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
(x+4)^2 / 9 - (y+3)^2 / 16 = 1
a^2 = 16 and b^2 = 9
a = +4 and -4
b = +3 and -3
Center is (-4, -3)
Vertices is (-4 + a, -3) and (-4 - a, -3)
Vertices is (-1, -3) and (-7, -3)
Here 'a' corresponds to 0.
Now there are two possibilities for 'r' & 't'
Case 1.
They are on the same side to the right of 'a'
In that case 'r' corresponds to 5 & 't' corresponds to 7.
The midpoint of 'r' and 't' shall be 
Case 2.
Both are on the left of 'a'.
In that case 'r' corresponds to -5 & 't' corresponds to -7
The midpoint shall be 
Case 3.
'r' in on the right of 'a' and 't' is on the left of 'a'
So 'r' corresponds to 5 and 't' corresponds to -7
The midpoint shall be 
Case 4.
'r' is on the left of 'a' & 't' is on the right of 'a'.
'r' corresponds to -5 & 't' corresponds to 7
The midpoint shall be 
The possible coordinates of the midpoints of rt are 6, -6, 1, -1.