What is the length of segment AC?

AC = 12

Step-by-step explanation:

If segment AB is tangent to circle C, then

angle ABC is 90 degrees, so that the Pythagorean theorem applies.

AC^2

= AB^2 + BC^2

= 9.6^2 + 7.2^2   factor out 2.4

= 2.4^2(4^2+3^2)   use 3^2+4^2 = 5^2

= 2.4^2*5^2

AC = sqrt(AC^2) = sqrt(2.4^2*5^2) = 2.4*5 = 12

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.