Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 = 
Hope this helps!! :)
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Answer:
8
Step-by-step explanation:
Let the initial values of the height and the diameter be h and 2r.
Then the volume of the non-enlarged cylinder is \pi r^2 h
The volume of the enlarged cylinder becomes \pi(2r)^2 2h = \pi 4r^2*2h =8*\pi r^2 h.
So the 2nd volume is obtained by multiplying the 1st volume by 8.
Therefore the cylinder is enlarged by factor 8.
Hope it helps and if it does, plz mark me brainliest
%change=100(final-initial)/initial
%change=100(17.43-21)/21
%change= -17%