Question

Math number 12

Find the value of x

Answer 1

10

Explanation:

LN = 4 + x - 8 = x - 4

LS = 3 + x - 5 = x - 2

By intersecting secants theorem:

`LM* LN = LK* LS \\ \\ 4(x - 4) = 3(x - 2) \\ \\ 4x - 16 = 3x - 6 \\ \\ 4x - 3x = 16 - 6 \\ \\ x = 10`