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3 years ago

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:

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

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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