Step-by-step explanation:
In the following triangle, a= ? , b= 2cm.
m<B= 105° , m<C = 15° ,m< A =?
Now, we know that sum of the interior angles of the triangle = 180°
m<B+m<C +m< A =180°
105°+15°+m< A=180°
m< A= 180- 120° = 60°
![\frac{ \sin( A) }{a} = \frac{ \sin(B) }{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csin%28%20A%29%20%7D%7Ba%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csin%28B%29%20%7D%7Bb%7D%20)
![\frac{ \sin(60) }{a} = \frac{ \sin(105) }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csin%2860%29%20%7D%7Ba%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csin%28105%29%20%7D%7B2%7D%20)
![a = \frac{ \sin(60) }{ \sin(105) } \times 2](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B%20%5Csin%2860%29%20%7D%7B%20%5Csin%28105%29%20%7D%20%20%5Ctimes%202)
![a = 1.79](https://tex.z-dn.net/?f=a%20%3D%201.79)
![a = 1.8](https://tex.z-dn.net/?f=a%20%3D%201.8)
Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
Answer:
yes
Step-by-step explanation:
The answer is C. This is because if you multiply 7:5 by 3, you get 21:15.