Answer:


Step-by-step explanation:

( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
⇒
Collect like terms
⇒
Subtract 18 from 50
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
⇒
Multiply the numbers
⇒
Add the numbers
⇒
Move constant to R.H.S and change it's sign
⇒
Subtract 98 from 180
⇒
Value of m<AFD = 82
Hope I helped!
Best regards!!
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let 


Rewrite the equation to find the coordinates of C
and 
Solve for each:












Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let 


and 
Solve for each:












Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
Step-by-step explanation:
This is the answer.... Working shown
b.an object at rest has an instantaneous acceleration of zero