When added, these two angles are supplementary, meaning that their sum is 180. This means that we can do the following to find x, and eventually DBC:
3x+67+4x+50=180
Simplifies to:
7x+117=180
Then by the Subtraction Prop. of Equality:
7x=63
Then divide by 7 on both sides to get that x=9.
We then substitute 9 into angle DBC.
4(9)+50
=36+50
DBC=86
:)
Answer:
Diameter = 24 mm
Step-by-step explanation:
Volume of a sphere is 4/3 π
First, we solve for radius:
2304π = 4/3π
Multiply both sides by 3
3(2304π) = 4π
Divide both sides by 4π
6912π/4π = 
1728 = 
Cuberoot both sides
= r
r= 12
Hence, the diameter would be: 2times the radius = 2*12= 24 mm
Hope this helps!
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