Answer:
A pack of pencil' price=$8
Price went up=$12
increasing percentage = change/original x100
= (12 -8)/8 x100
=4/8 x100
=50%
The answer is 7.3. Hope that helps.
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 2^2) / 4
A = (pi x 4) / 4
A = 4pi / 4
A = 1pi = 3.14 square miles
Hope this helps! :)
