Answer:
- complement: 32.8°
- supplement: 122.8°
Step-by-step explanation:
The sum of an angle A and its complement C is 90°:
A + C = 90°
C = 90° -A . . . . . subtract A from both sides.
That is, the complement of an angle is found by subtracting the angle from 90°.
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The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.
A + S = 180°
S = 180° -A = 90° +(90° -A)
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For the given angle, the complement is ...
C = 90° -57.2° = 32.8°
And the supplement is ...
S = 180° -57.2° = 122.8°
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<em>Additional comment</em>
We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV
To make a positive profit p(x)>0 we need to make:

Now we solve this for x:

We have:
a = -2
b = 7
c = -3
We will use formula for quadratic equation:

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
Answer:15 candy bars are solddd
Step-by-step explanation:
Answer:
We see that the big triangle is an equilateral triangle, so all its angles will measure 60°. Therefore x° will be 60° - 30° = 30°, as he's the base angle of an isosceles triangle having the other base angle of 30°. y will simply be 180° - 60° (remembering that the sum of the angles in a triangle is always 180°).