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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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Kailyn went to the store to buy school clothes she had a store credit from her previous return in the amount of $39.58 if she bo
butalik [34]
52.22 - 39.58 = 12.64

12.64 / 4 = $ 3.16 per shirt
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3 years ago
Find 2x − 3y − z if x = −2, y = 3, and z = −2 −11 11 −15 15
ivann1987 [24]
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4 0
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Find the perimeter of the track. Make<br> sure to include units.<br> 15 yards<br> 25 yards
ahrayia [7]

Answer:

Assuming that it's a rectangular track and the units are 15x25 yards, the perimeter is 80 yards.

Explanation:

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3 years ago
A concrete stepping stone measures 20 inches square. What is the area of 30 such tiles?
ratelena [41]
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4 years ago
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The equation for line j can be written as y=2x + 8. Another like k is perpendicular to line j and passes through the point (6,-6
Semmy [17]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

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with slope m = 2

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y = - \frac{1}{2} x - 3 ← equation of line k

7 0
3 years ago
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