The answer is 10 hope this helps
Answer:
p = -4, q = -3
Step-by-step explanation:
y = -2x +4 ... (1) perpendicular bisector of AB, slope = -2
slope of AB = 1/2
Line AB pass (8,3): (y-3) / (x-8) = 1/2
AB equation: y-3 = 1/2(x-8) y = 1/2x - 1 ... (2)
(2)-(1): 5/2 x = 5 x = 2
y = 0 (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)
(8+p)/2 = 2
<u>p = -4</u>
(3+q)/2 = 0
<u>q = -3</u>
Answer is a right triangle. The angles of a triangle must add to 180 degrees.
You have two 45 degree angles
45 + 45= 90
Now you need 1 more angle to equal 180
180- 90= 90
A right angle is 90 degrees. A right triangle has one right angle and two acute.