I found the value of x to be 6 by adding the two equations together and setting them equal to 180.
2x^2+3x-5+x^2+11x-7=180
When you solve for x you get x=6
Then you plug 6 in for x in each angle. The first angle is 85 and the second is 95.
1/2.54 = 90/x
Cross multiply
(1)x = (2.54)(90)
x would equal 228.6
The answer would be 90 in/ 228.6 cm.
Answer:
- area: 240 ft^2
- bases: 20 ft, 10 ft
- height: 16 ft
Step-by-step explanation:
Apparently, 4/5 of a gallon is used, so covers ...
(4/5)(300 ft^2) = 240 ft^2
The area of the trapezoid is 240 square feet.
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The short base of the trapezoid is half the length of the longer base, so is ...
(1/2)(20 ft) = 10 ft
The lengths of the bases are 20 ft and 10 ft.
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The area formula for the trapezoid is ...
A = (1/2)(b1 +b2)h
Filling in the numbers we know, we can find h.
240 = (1/2)(20 +10)h
240 = 15h . . . . . simplify
16 = h . . . . . . . . . divide by 15
The height of the trapezoid is 16 feet.
