49.3k views
5 votes
Anyone know the answer? Please and thank you

Anyone know the answer? Please and thank you-example-1
User Peekmo
by
4.4k points

1 Answer

6 votes

Answer:

x = 9

Explanation:

Given 2 secants from an external point to the circle , 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

3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides

9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )

3x = 27 ( divide both sides by 3 )

x = 9

User Mukesh Garg
by
4.6k points