Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
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ABC rotates 90 degrees clockwise to become EDF.
ABC undergoes transformation of 1/2 so reduces its original size.
Answer:
The answer is
![\sqrt[3]{ {x}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20)
Step-by-step explanation:

Since they have the same base and are dividing we can use the rules of indices
That's
subtract the exponents
So we have



Rewriting it in radical form
We have the final answer as
![\sqrt[3]{ {x}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20)
Hope this helps you
Answer:
8
Step-by-step explanation:
You can think as vertices as the corners of the shape