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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Answer:
I got in my answer that x < 3
Answer: 2/3
Step-by-step explanation:
5/9 and 5/6 doesn't have the same denominator. So 5/9 changes to 10/18, while 5/6 changes to 15/18.
10/18 divided by 15/18= 10/18 x 18/15 = 180/270
180/270= 2/3
Answer:
ED = 32.5
BE = 14.4
Step-by-step explanation:
Ab = 20
AC = AB + 5 = 20 + 5 = 25
AC / AB = 1.25
AB * 1.25 = AC
This means that:
AE * 1.25 = ED
CD / 1.25 = BE
AE * 1.25 = ED
26 * 1.25 = 32.5
CD / 1.25 = BE
18 / 1.25 = 14.4
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