Answer:
20. 4n+5+8n-5=180(linear pair)
12n=180
n=15
21. 9x-6=8.5x+2(can be seen from image)
9x-8.5x=2+6
0.5x=8
x=8/0.5
x=80/5
x=16
22. 4z+3z+6=90°(Complementary)
7z+6=90°
7z=84°
z=12°
<h3>
Answer: Choice D</h3><h3>
m = n</h3><h3>
b = sqrt(pi)*a</h3>
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Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.
Wait just a minute. Hold up. Hee haw. Whoa !
Coming down to Earth for just a second ... what in the world is
the "distance" between integers anyway !
All you need to do it combine like terms.
3x + 9 + 4x + x
(3x + 4x + x) + 9
8x + 9
i hope this was helpful for you!
