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BoujeeAngel

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Tangents that meet at a point are equal in length so DB = CB

Let's form an equation:

10x + 16 = 5x + 20

- 16 from both sides

10x = 5x + 4

- 5x from both sides

5x = 4

/5 on both sides

x = 4/5

Sub this value into the expression for CB

5(4/5) + 20 = 24

Thus, the answer is option D. 24

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Answer:

4TH OPTION

Step-by-step explanation:

IN A CIRCLE , TANGENT DRAWN FROM AN EXTERNAL POINT TO THE CIRCLE ARE EQUAL.

ie BD = BC

ie 10x +16 = 5x+20

10x - 5x = 20 -16

5x = 4

x = 4/5

therfore BC = 5x+20 = 5*4/5 +20

BC= 4+20

BC = 24

HOPE IT HELPS...

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