1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
Ok so do you know how to do it?
Step-by-step explanation:
(a/b*b/c=1/2*3/4)(a/c=3/8)
They are proportional with a ratio of 2:3
X—2 equations combined:
2(2x - 3y) + 3(5x + 2y) = 2(11) + 3(18)
4x - 6y + 15x + 6y = 22 + 54
19x = 76
x = 4
y—1st equation, substitute x:
2(4) - 3y = 11
8 - 3y = 11
3y = - 3
y = - 1
Answer: x = 4, y = - 1
Proof—2nd equation:
5(4) + 2(- 1) = 18
20 - 2 = 18
18 = 18
