Answer:

Step-by-step explanation:
The mid point can be found with the formula

The given coordinates are
and
.
Replacing coordinates in the formula, we have

Therefore, the mid point of the segment PQ is 
Answer:
$9.00
Step-by-step explanation:
If the price is at 30% discount, this means it is 100-30 = 70% of the original price.

Hence, original price is $9.00.
Answer:
See below
Step-by-step explanation:
BC bisects <DBE and if AC is a straight line then you have that:
<ABD + <DBC = 180 (straight angle because of line AC)
<ABE + <CBE = 180 ( straight angle because of line AC)
Because BC bisects <DBE => < DBC = <CBE
So <ABD and <ABE must be the same to both sum 180 when added < DBC
Step-by-step explanation:
3k + 2k - 6 = 8k + 3
8k - 3k - 2k = - 6 - 3
8k - 5k = -9
3k = - 9
k = - 9/ 3
K = - 3
Hope it will help you :)