Hey sorry if I cant show work but here is the point form:
( 0 , 1 ) and ( -3 , -2 )
A. volume of the stage in the banquet hall = 22 x 15 x 4 = 1,320 cubic foot.
weight of the stage in the banquet hall:
1 cubic foot weighs 62.4 pounds
1,320 cubic feet will weigh 1,320 x 62.4 = 82,368 pounds.
b. volume of each cylindrical pillar = pi * r^2 * h = pi * (1/2)^2 * 9 = pi * 1/4 * 9 = 7.069 cubic feet
weight of each cylindrical pillar:
1 cubic foot weighs 62.4 pounds
7.069 cubic feet will weigh 7.069 x 62.4 = 441 cubic feet.
Since angles A and C are equivalent, then angles B and D must also be equivalent. So if
angle B = angle D then...
7x + 15 = 8x
Now we just solve for x
7x + 15 = 8x
15 = 8x - 7x
15 = x
We Can check to see if it is correct by substituting 15 in for x in the equation..
7x + 15 = 8x
7 (15)+15 = 8 (15)
105 +15 = 120
120 = 120
It checks! angles B and D = 120 degrees
The line of best fit would be y = x + 490
