Answer:
468.75 = Volume B
Step-by-step explanation:
The volume of two similar figures is related to the scale factor by cube
Volume A
----------------- = scale factor ^3
Volume B
30 2^3
-------------- = ---------
Volume B 5^3
Using cross products
30 * 125 = 8 Volume B
3750 = 8 Volume B
Divide by 8
3750/8 = Volume B
468.75 = Volume B
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Y = 18 - x
3x - 18 + x = -12
4x = 30
X = 30/4
= 7 1/2
In an isosceles trapezoid, the two diagonals are congruent.
Therefore SV=TU, or 3x-11=x+13
Solve for x in
3x-11=x+13
subtract x-11 from either side to isolate x,
3x-x=13+11
2x=24
x=12
Check: SV=3(12)-11=25 = (12)+13 = TU, ok.
Answer: x=12
