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loris [4]
3 years ago
6

Anyone know the answer?

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0
PKE is a triangle and its interior angles therefor sum to 180deg:

P+K+E=180
90+(x+6)+2x=180
96+3x=180
3x=84
x=\frac{84}{3}=28deg
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2 years ago
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Answer:

5 4/9

Step-by-step explanation:

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3 years ago
The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool
Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

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The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

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The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

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4 0
3 years ago
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3 years ago
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lara [203]

Answer:

30x+14

Step-by-step explanation:

-30x+10+4 (Distribute)

Hope this helps

5 0
3 years ago
Read 2 more answers
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