Answer:
9/10
Step-by-step explanation:
Answer:
![21^{\circ}](https://tex.z-dn.net/?f=21%5E%7B%5Ccirc%7D)
Step-by-step explanation:
The Law of Sines is given by
and works for every triangle.
Substituting given values, we have the following equation:
![\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2068%5E%7B%5Ccirc%7D%7D%7B18%7D%3D%5Cfrac%7B%5Csin%20C%7D%7B7%7D%2C%20%5C%5C%5C%5C%5Csin%20C%3D%5Cfrac%7B7%5Csin%2068%5E%7B%5Ccirc%7D%7D%7B18%7D%2C%5C%5C%5C%5CC%3D%5Csin%5E%7B-1%7D%280.36057149899%29%2C%5C%5C%5C%5CC%5Capprox%20%5Cboxed%7B21%5E%7B%5Ccirc%7D%7D)
*Note that because
, when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
Answer:
See below.
Step-by-step explanation:
The 4 might be:
-1.9 - 3/2 , -1.8 and - 9/8.
Add EF and DE together to equal 32
2x-10 + 4x = 32
Combine like terms;
6x-10 = 32
Add 10 to each side:
6x = 42
Divide both sides by 6:
x = 42/6
X = 7
EF = 2x-10 = 2(7)-10 = 14-10 = 4
DE = 4x = 4(7) = 28
Answer:
No.
Step-by-step explanation:
1. Since 19 is a prime number, it only has two factors: 1 and 19. Therefore, 3 is not a factor of 19 because no natural number multiplied by 3 equals 19.