Solve for x. show work and steps. geometry

a. x = 7

b. x = 2

Step-by-step explanation:

a. As we know when two secants are drawn to a circle from an exterior point then the product of external segments and the total length of each secant are equal.

Here in the given question length of external segment is 5 and 6 and total length of the secants are (x+5) and (6+4) = 10

Now from the given statement

(x+5)×5 = 10×6 = 60

(x+5) = 60÷5 = 12

x = 12-5 =7

b. As we have done in part a. we will follow the same rule

(x+4)×4 = (5+3)×3 = 8×3 =24

x+4 =24÷4 = 6

x = 6 - 4 =2

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step-by-step explanation: