Question

Solve for x.
A. 8
B. 4
C. 10
D. 7

Answer 1

The value of x in the diagram is 7

Apply the secant - secant product theorem to produce the expression thus;

6(4 + 6) = 5(5 + x) (secant - secant products theorem)

open the bracket

6(10) = 25 + 5x

60 = 25 + 5x

60 - 25 = 5x

35 = 5x

x = 35/5

x = 7

Hence, the value of x is 7

Answer 2

D. 7

Explanation:

Apply the secant-scant product theorem. Thus, based on the theorem, we have the following equation:

6(4 + 6) = 5(x + 5)

6(10) = 5x + 25

60 = 5x + 25

Subtract 30 from each side

60 - 25 = 5x + 25 - 30

35 = 5x

Divide both sides by 5

35/5 = 5x/5

7 = x

x = 7