The value of x when the secants intersect is 4
How to find side when two secant intersect?
A secant of a circle is a line that connects two distinct points on a curve.
The secant touches two sides of the circumference of a circle.
Therefore, using secant rule,
4(x + 2 + 4) = 5(x - 1 + 5)
Hence,
4(x + 6) = 5(x + 4)
Hence, open the brackets
4x + 24 = 5x + 20
Therefore, subtract 4x from both sides
4x - 4x + 24 = 5x - 4x + 20
24 = x + 20
subtract 20 from both sides
24 - 20 = x + 20 - 20
x = 4
Therefore, the value of x is 4.
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