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Travka [436]
3 years ago
9

A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short pa

ragraph, explain what you can conclude about the four tangent segments?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

The four tangent segments are congruent

Step-by-step explanation:

we know that

The <u><em>Two-Tangent Theorem</em></u> states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

so

In this problem

Applying the two tangent Theorem we have that the four tangent segments are congruent

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uranmaximum [27]
Let r, g and b represent red, green and blue.

r+g+b = 74

r=g-1

b=r+g

Again, r+g+b = 74.  Let's substitutte r+g for b:  r+g+(r+g) = 74.

Next, let's eliminate r.  Use r=g-1.  Then      g-1  + g + g-1 + g = 74

Combining the g terms,  4g - 2 = 74     => 4g = 76   =>  g = 19

Recall that r=g-1
and 
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Find r.  If r=g-1, and g=19, then r = 19-1=18

Find b:  b = r+g = 18+19=37

So there are 37 blue candies, 18 red candies and 19 green candies.

Check:  37+18+19=74 ???  Yes.
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Step-by-step explanation:

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What number am i missing please only tell me the one missing!!!
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