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stepladder [879]
3 years ago
8

8.1 Tangent Lines find the side of of triangle KLJ

Mathematics
1 answer:
Stells [14]3 years ago
8 0

Answer:

x=12

Step-by-step explanation:

tangent forms 90° with the touch point at circle

(x+8)^2 = 256+x^2

x^2 + 16x + 64 = 256 + x^2

16x = 192

x= 12

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Benjamín made 3 times more than Alberto and Carlota 2 times more than Benjamín, so how much is it, help me
vichka [17]

Step-by-step explanation:

you are "hiding" some more information (like how much they made together).

without that we cannot calculate the actual values.

all I can do is set up the equations expressing the given relations between the parts of the total :

a = amount Alberto made

b = amount Benjamin made

c = amount Carlota made

b = 3×a

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that's it.

your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.

and that is missing.

if it is something like "together they made x", then we would have

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