Answer:
x² = 2x - 1
Step-by-step explanation:
x² + 1 = 2x
→ Minus 1 from both sides
x² = 2x - 1
Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is

where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,

Now,
Putting, A=72,
and h=6 we get,

or, 
or, 
or, 
or, 
or, 
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.
Answer:
$1440
Step-by-step explanation:
$72/hour
For 20 hours, she receives
20 hours × $72/hour = $1440
15 is the width because 30 times 2 equals 60 and 60 plus 30 equals 90 so 30/2 equals fifteen.
In short-30*2+w2=90
w=15
Hope this helps!
6900 ft is the answer. 6500 + 400 = 6900.