Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
Volume of cone= 1/3πr^2h
8842.24 m^3= 1/3πr^2h
1/3*3.14*33*r^2= 8842.24m^3
r^2 = 8842.24*3/3.14*33
r^2= 26526.72/103.62
r^2 = 256
r= √256
r= 16m
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Answer:
16
Step-by-step explanation:
4c + 8
Replace 'c' with 2 and evaluate:
4(2) + 8
8 + 8
16
Hope this helps.
set up a ratio to find the length:
15/12 = DE/16
cross multiply the 15 & 16:
15 * 16 = 240
divide that by 12 to get DE
240 / 12 = 20
DE = 20
There are none. Absolute values are always positive