Answer:
XY = 8 and YZ = 20
Step-by-step explanation:
If XY and YZ are on the one line, we can write
XY + YZ = 28
(2x+2) + (9x - 7) = 28
2x+2 + 9x - 7 = 28
11x - 5 = 28
11x = 33
x = 3
XY = 2x+2 = 2*3 + 2 = 8
YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20
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
Circumference = 2 pi r
2 pi r = 200
r = 100 / pi
Area of base = pi r r
Area of base = 100*100 / pi
Area of base = 3183.1 sq. m.
The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²
Let x be the width of the rectangle.
As the area of track along the walls of the gym is 7000ft²
(x - 12)(3x - 12) = 7000
After simplifying:
3x² - 48x + 6856 = 0
Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
Learn more about the rectangle here:
brainly.com/question/15019502
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The answer is x2<span> – 2</span>x<span> – 9 and that is option C</span>
