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Nostrana [21]
3 years ago
12

Find the measure of line f and g

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

In this case we use intersecting secant theorem  

According to this theorem, GF*GE = GH*GA

So,we plug in the values

(x-3)*(x-3+9) =(x-2)*(x-2+6)

(x-3)*(x+6) =(x-2)*(x+4)

x^2 +6x -3x -18 =x^2 +4x -2x -8

x^2 +3x -18 =x^2 +2x -8

x^2 +3x -18 -x^2 -2x +8 =0

x -10 =0

x=10

So,FG =x-3 = 10-3 =7

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Answer:

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Step-by-step explanation:

106% of $x = $7.95

In other words,

\[\frac{106}{100}\] of $x = 7.95

Multiplying both sides of the equation by \[\frac{100}{106}\]

\[\frac{106}{100} * \frac{100}{106}\] of x = 7.95 * [\frac{100}{106}]

=> x = [\frac{750}{100}]

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Validation: 106% of 7.5 = 7.95

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