Question

Solve for x if AB = 5x and BC = 3x + 24.

Answer 1

The value of x according to the given task is; 12.

What is the value of x?

It follows from the task content that the value of x is to be determined.

Since, lines AB and BC are both tangent to the circle and they both share a point of intersection; it follows that;

5x = 3x +24

• collect like terms

2x = 24

• divide both sides by 2

x = 24/2

x = 12.

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