Answer:
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Step-by-step explanation:
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Answer:
the height=12; the length=10; the width=4.
Step-by-step explanation:
1) the formula of the described volume is length*width*height=480 (in.³).
2) according to the condition the height=8+width; the length=6+width.
3) if to substitute all the values into the formula, ⇒ (6+width)*(8+width)*width=480.
(width)³+14(width)²+48width-480=0.
4) if to resolve the equation, the width=4.
The length=6+4=10; the height=8+4=12 (in.).
Answer:








Step-by-step explanation:
Given



Solving (a): NK
MK is a diagonal and NK is half of the diagonal. So:



Solving (b): JL
JL is a diagonal, and it is twice of NL.



Solving (c): KL
To solve for KL, we consider triangle KNL where:

and





Solving (d - h):
To do this, we consider triangle JKN
-- diagonals bisect one another at right angle
Alternate interior angles are equal. So:

Similarly:


So:






