Which expression can be used to find the value of X?

Mathematics

2 answers:

IRINA_888 [86]2 years ago

6 0

Use the Law of Sines to find side b.
b / sin(B) = a / sin(A)
b / sin(32°) = 11 / sin(47°)
b = (sin(32°) x 11) / sin(47°) <---- You would use this, so rewritten
11(sin(32))/sin(47) would be the expression, or answer B.)

BTW b = 7.970

Hope this helps!

liq [111]2 years ago

4 0

the correct answer is C) 11(sin32°) / sin47°

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In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=x+17 m ∠ A = x + 17 and LaTeX: m\angle C=2x-4 m ∠ C = 2 x −

jek_recluse [69]

Answer:
x = 21

Explanation:
In a parallelogram, each two opposite angles are equal.

In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.

Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21

We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal

Hope this helps :)