Answer:
x=65
Step-by-step explanation:
x-5=60
Add 5 to both sides
x=65
Answer:
25.12 inches
Step-by-step explanation:
We have given the radius of the circle =12 inches
The central angle intercepted by the arc =120°
We have to find the length of the arc
So length of the arc is given by 

So the length of the arc will be 25.12 inch
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°
Learn more about the law of cosines on:
brainly.com/question/23720007
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