1)
MD = 1/2(16+28)
MD = 22
2)
19 = 1/2(x+36)
19=1/2x + 18
1/2x = 1
x = 2
3)
33=1/2(2x-3 + 3x+9)
33 = 1/2(5x +6)
33= 5/2x +3
5/2x = 30
x = 30 (2/5)
x = 12
TR = 2x - 3 = 2(12) - 3 = 24 -3 = 21
PA = 3x + 9 = 3(12) + 9 = 36 + 9 = 45
4)
20x + 4 = 1/2(10 + 24x + 6)
20x + 4 = 5 + 12x + 3
20x + 4 = 12x + 8
8x = 4
x = 1/2
TR = 24x + 6= 24(1/2) + 6 = 12 + 6 = 18
MD = 20x + 4 = 20(1/2) + 4 = 10+4 =14
5)
12 = 1/2(-5x + x^2)
12 = -5/2x + 1/2x^2
1/2x^2 -5/2x - 12 = 0
(1/2x - 4)(x +3) = 0
1/2x - 4 = 0
1/2x = 4
x = 8
x + 3 = 0
x = -3
so answer is x = -3
TR = -5x = -5(-3) = 15
PA = x^2 = (-3)^2 = 9
double check
12 = 1/2(9+15)
12 = 1/2(24)
12=12
6)
10 = 1/2(x^2 - 5x -4x +10)
10 = 1/2(x^2 -9x + 10)
10 = 1/2x^2 -9/2x + 5
1/2x^2 - 9/2x - 5 = 0
(1/2x -5)(x + 1) = 0
1/2x - 5 = 0
x1/2x = 5
x = 10
x+1 = 0
x = -1
answer x = 10
TR = x^2 - 5x = 10^2-5(10) = 100 - 50 = 50
PA = -4x +10=-4(10) + 10 = -40+10=-30
double check
10 = 1/2(50 - 30)
10=1/2(20)
10=10
