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I suck at these problems: Solve for x. Assume that lines which appear tangent are tangent.

I suck at these problems: Solve for x. Assume that lines which appear tangent are-example-1

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check the picture below.
I suck at these problems: Solve for x. Assume that lines which appear tangent are-example-1
User Smackcrane
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1 vote

The value of x is 9.

To solve for x using the secant segments from external points theorem, we need to use the following equation:

EX * EY = AX * AY

where:

EX is the length of the external secant segment from point E to the circle,

EY is the length of the external secant segment from point E to the circle,

AX is the length of the secant segment from point A to the circle, and

AY is the length of the secant segment from point A to the circle.

In this case, we are given that:

EX = 7

EY = 8

AX = x

AY = 6

Substituting these values into the equation, we get:

7 * 8 = x * 6

56 = 6x

x = 56 / 6

x = 9

Therefore, the value of x is 9.

User Lazar Lazarov
by
8.0k points

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