137k views
5 votes
What’s the correct answer for this? Solve for x

What’s the correct answer for this? Solve for x-example-1
User Kolage
by
5.4k points

1 Answer

2 votes

Answer:

x = 40

Explanation:

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

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

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

User Savlon
by
5.0k points