Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,

56x = (18√14)²
56x = 4536
x = 
x = 81
2). By applying geometric mean theorem,

16x = (8√21)²
16x = 1344
x = 
x = 84
70/81 is 7/81+7/9 as a proper fraction
Direct variation is of the form y=kx. We are given the point (8, -4) so we can solve for k, the constant of variation...
-4=8k, divide both sides by 8
-4/8=k
k=-0.5, so our equation is:
y=-0.5x,
177 + s < = 0.20(1000)....where s = weight of the camping supplies
177 + s < = 200
s < = 200 - 177
s < = 23 <== so, at most, his camping supplies can weigh 23 lbs