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: 24
Step-by-step explanation: 96% of 25 is 24
25 x 0.96 = 24
Hope this helps
2a - 1 - 8b - 12b + 7a - 12
Combine like terms
2a + 7a = 9a
-8b - 12b = -20b
-1 - 12 = -13
9a - 20b - 13
The property used to arrive at line 2 is the additive property of equalities
The additive property of equalities states that for real numbers if x = y : then x + z = y + z
For example if 2 = 2 , then 2 + 1 = 3
In order to arrive at line 2, x and 2x were added together to arrive at 3x
The distributive property was used to arrive at line. The property states that : x(1 + 2) = x + 2x
Subtractive property of equalities was used to arrive at line 3
To learn more, please check: brainly.com/question/10617252?referrer=searchResults
Answer:
Sum of the interior angles of a polygon
Step-by-step explanation:
When given a convex polygon with a number of sides (n), we use the formula S = 180(n - 2) to find the sum of the measure of the interior angles.
Have a lovely rest of your day/night, and good luck with your assignments! ♡