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Airida [17]
3 years ago
14

Three circles with centers A, B, and C are externally tangent to each other as shown in the figure. Lines EG and DG are tangent

to circle C at points F and D and intersect at point G. If each circle has a diameter of 6 inches, find the length of DG and the area enclosed by lines FG and GD, and arc FD. :) help pleaaaaaaaase
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
My solution to the problem is as follows:

EC = 15 ... draw CF = 6 (radius) ...use Pythagorean theorem to find EF. 

EF^2 + CF^2 = EC^2 
EF^2 = 15^2 - 6^2 = 189 .... EF = sq root 189 

triangle GDE is similar to CFE ... thus proportional 
GD / ED = CF / EF 
GD / 18 = 6 / (sq root 189) 
<span>GD = 108 / (sq root 189)

I hope my answer has come to your help. God bless and have a nice day ahead!


</span>
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Answer:

Step-by-step explanation:

g(2) = 3(2) - 3 = 6 - 3 = 3

h(3) = 3^2 - 4(3) = 9 - 12 = -3

A is the answer

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What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?
astraxan [27]

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Step-by-step explanation:

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6 0
3 years ago
Find the values of the variables ( I have five more of these if you will help me pls)
lord [1]
<span>The angles of the figure are complementary, that is, the sum between them is equal to 90º.

Solving:
54º + 4xº = 90º
4xº = 90 - 54º
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</span>x =  \frac{36^0}{4^0}
\boxed{\boxed{x = 9^0}}\end{array}}\qquad\quad\checkmark
<span>
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</span><span>The value of the variable is 9º</span>
5 0
3 years ago
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Alja [10]

Answer:

y = 4x + 1

Step-by-step explanation:

first use y-y/x-x

(-2, -7), (3, 13)

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4x is the slope

i'm going to do another way of finding the y-intercept, but you should learn how to do the way you're being asked here

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7 0
3 years ago
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Please help!!
Anni [7]
Data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6

the MAD is :
1 - 6 = -5....|-5| = 5
2 - 6 = -4....|-4| = 4
4 - 6 = -2...|-2| = 2
4 - 6 = -2...|-2| = 2
5 - 6 = -1...|-1| = 1
5 - 6 = -1...|-1| = 1
6 - 6 = 0 ...| 0| = 0
7 - 6 = 1....|1| = 1
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
11 - 6 = 5...|5| = 5

(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD

2nd data set :
the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7

mad is :
1 - 7 = -6...| -6| = 6
3 - 7 = -4...|-4| = 4
4 - 7 = -3...|-3| = 3
6 - 7 = -1...|-1| = 1
6 - 7 = -1..|-1| = 1
6 - 7 = -1..|-1| = 1
7 - 7 = 0...|0| = 0
9 - 7 = 2...|2| = 2
9 - 7 = 2...|2| = 2
10 - 7 = 3..|3| = 3
10 - 7 = 3...|3| = 3
13 - 7 = 6...|6| = 6

(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MAD

the difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer


8 0
3 years ago
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