The value of "x" is 5.

Given that,
A trapezium ABCD in which AB || CD such that
Now,











Answer:
All real numbers are solutions to this problem.
Step-by-step explanation:
I) Simplify:
2(x + 4) - 1 = 2x + 7
x + 4 - 0.5 = x + 3.5 (Divide by 2)
x + 3.5 = x + 3.5 (Simplify <em>x + 4 - 0.5</em>)
x = x
II) Conclusion:
Any real number will work as a solution.
Answer:
<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>
Step-by-step explanation:
Suppose, the width of the rectangular tabletop is
inch.
As the tabletop has a length that is twice it’s width, so the length will be:
inch.
The tabletop measures 76 inches on its diagonal.
<u>Formula for length of diagonal of rectangle</u>: 
So, the equation will be..........

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.
The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.
Answer:
- difference: -4 cubic inches
- % change: -10%
Step-by-step explanation:
The difference between the new volume and the original volume is ...
(new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²
__
The percentage change is figured with respect to the original volume:
% change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%
= -1/10 × 100% = -10%