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mash [69]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer:

x = 25

Step-by-step explanation:

One can use the Line Tangent to a Circle theorem to solve this problem. The Line Tangent to a Circle theorem states that when two non-parallel lines are tangent to a circle (the lines touch the circle at a single point), then the distance between the intersection point and the point of tangency is the same for both lines. This theorem does go by other names, but the actual theorem content is the same.

Using this one can form the equation;

BA = CA

Substitute,

2x + 3 = 53

Inverse operations,

2x + 3 = 53

     -3      -3

2x = 50

/2     /2

x = 25

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