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marysya [2.9K]
2 years ago
6

X = A 21.6 B 12.9 C 9.1

Mathematics
2 answers:
Artist 52 [7]2 years ago
6 0

Answer:

B: 12.9

Step-by-step explanation:

If A B and C are the alternatives, the answer is B: 12.9

The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.

And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6

Any questions, comment.

Sever21 [200]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = \frac{opposite}{hypotenuse} = \frac{AC}{AB} = \frac{12}{x} ( multiply both sides by x )

x × sin57° = 12 ( divide both sides by sin57° )

x = \frac{12}{sin57} ≈ 12.9 ( to 1 dec. place ) → B

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