162k views
2 votes
Solve for x (show all steps)

Solve for x (show all steps)-example-1

1 Answer

2 votes

Answer:

x = 7

Explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the entire of one secant is equal to the product of the external part and the entire of the other secant, that is

5(5 + x) = 6(6 + 4) ← distribute parenthesis on both sides

25 + 5x = 6 × 10

25 + 5x = 60 ( subtract 25 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7

User Parth Bhoiwala
by
7.3k points