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xxTIMURxx [149]
3 years ago
7

Solve For X (see picture below) thank you!

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

<em>If </em><em>two secants</em><em> are drawn from</em><em> a point outside </em><em>the circle, then the </em><em>product</em><em> of the lengths of</em><em> one secant </em><em>and its</em><em> external segment</em><em> equals the </em><em>product </em><em>of the lengths of</em><em> the other secant </em><em>and its</em><em> external segment</em><em> </em>

Let us solve the question.

∵ There is a circle in the given figure

∵ There are two secants intersected at a point outside the circle

∵ The length of one of them = 8

∵ The length of its external segment = x

∵ The length of the other secant = 4 + 8 = 12

∵ The length of its external segment = 4

→ By using the rule above

∴ 8 × x = 12 × 4

∴ 8x = 48

→ Divide both sides by 8

∴ x = 6

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