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Wittaler [7]
2 years ago
8

I need an explanation on how to work this out

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

Answer:

5

Step-by-step explanation:

We have to substitute r and s with the values given:

Now we can make an equation with our new values:

(6×1/4)+(14×1/4)

Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)

1.5+3.5=5

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Tangent Be and secant BC intersect at point B. Find the value of x. If necessary, round to the hundredths place.
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The value of x is 15.56.

Solution:

Tangent and Secant theorem:

If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.

BE = 22 BD = x, CD = x

BC = x + x = 2x

By the tangent and secant theorem,

BE^2=BD \cdot BC

22^2=x \cdot 2x

484= 2x^2

Divide by 2 on both sides of the equation, we get

242=x^2

Take square root on both side of the equation.

x = 15.56

Hence the value of x is 15.56.

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Step-by-step explanation:

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