Question

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Answer both! Thanks!

Answer 1

9514 1404 393

Answer:

1. x = √88.25 ≈ 9.4
2. x = 15

Explanation:

1. x is the hypotenuse of a right triangle with legs 4.4 and 8.3. The Pythagorean theorem can be used.

x² = 4.4² +8.3² = 19.36 +68.89 = 88.25

x = √88.25 ≈ 9.394

x = 9.4 . . . . rounded to tenths

__

2. The product of segment lengths to the near and far circle intercept is the same for both secants.

7(7+11) = 6(6+x)

7(18)/6 = 6 +x . . . . . divide by 6

21 -6 = x = 15 . . . . . subtract 6