Help please I'm like struggling

Choice 4)  AC is four times longer than DF

Explanation:

Let's say AC is 4 units long. This makes AE half as long because AE is a radius of the larger circle and AC is the diameter of that same larger circle. So we know AE = 2. Segment DE is also a radius of that circle. So AE = DE = 2.

Segment DF is half as long as DE, leading to DF = DE/2 = 2/2 = 1.

We have DF = 1 and AC = 4. This shows AC is four times longer than DF.

Put another way:

AC = 2*(AE)

AC = 2*(DE)

AC = 2*(2*DF)

AC = (2*2)*DF

AC = 4*DF

So AC is four times longer than DF. We can replace DE with 2*DF since the diameter DE is twice as long compared the radius DF (for the smaller circle).

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: