The items below show the complete steps as to how this is being answered.
1. 3x - 4 = 14 >>>> Given
2. 3x - 4 + 4 = 14 + 4 >>>
Step number 2 above is an addition property of equality. Both sides of the equation are added with 4.
3. Simplifying >>>
3x = 18
4. 3x/3 = 18/3 >>>> Division property of equality
5. >>>> Simplifying,
x = 6
Hence, the order of the choices as answers is C, E, B, A, D.
I cannot see your picture, but if the plane cutting the cylinder is indeed perpendicular to the cylinder's base, then the cross section must be square or rectangular. Going by the shape of most cylinders, I would guess that it is rectangular.
Answer:
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Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
-3 = x + x + x
-3 = 3x
-3/3 = x
x = -1
