3/4 divided by 1/3 write answer in simplest form

Step-by-step explanation:

a) Triangle ABD is a right triangle with side lengths 1 and 2.4. The triangle inequality requires hypotenuse AD have a length between 2.4 and 3.4. Only one answer choice is in that range: DA = 2.6.

(The ratio of the given sides is 1 : 2.4 = 5 : 12. These match the Pythagorean triple 5:12:13, so you know the hypotenuse DA is 2.6 units long. Even if you're not familiar with that triple, you can use the Pythagorean theorem to calculate the length of DA.)

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b) Tangents to a circle from the same point are the same length, so ...

  FA = BA = 9

  AE = FA +FE = 9 +22 = 31 . . . . . . sufficient to choose the correct answer

and ...

  DE = FE = 22

  CE = CD +DE = 12 +22 = 34

The side lengths are AE = 31, CE = 34.