Answer:
b)34°
Step-by-step explanation:
3x+50°+2x-30°=180°
5x+20=180° collect like term
5x=180°-20
5x/5=160°/5
×=32°
find M
M=(2x-30°) by Vertical opposite angle
2×32°-30
64°-30°=34°
27.8 x 9.6 is 266.88 so 280
Answer:
The number of service calls made = 55
Step-by-step explanation:
Let the total number of installations made by the company = x
Let the total number of service calls = y
Total number of invoices for the month = 69
=>
-------------------(1)
Total amount of the invoices = $6975
=>
-----------(2)
From (1), ![\[y=69-x\]](https://tex.z-dn.net/?f=%5C%5By%3D69-x%5C%5D)
Substituting in (2):
=> ![\[400x+25*(69-x)=6975\]](https://tex.z-dn.net/?f=%5C%5B400x%2B25%2A%2869-x%29%3D6975%5C%5D)
=> ![\[400x+1725-25x=6975\]](https://tex.z-dn.net/?f=%5C%5B400x%2B1725-25x%3D6975%5C%5D)
=> ![\[375x=5250\]](https://tex.z-dn.net/?f=%5C%5B375x%3D5250%5C%5D)
=> ![\[x=14\]](https://tex.z-dn.net/?f=%5C%5Bx%3D14%5C%5D)
![\[y=69-x\]](https://tex.z-dn.net/?f=%5C%5By%3D69-x%5C%5D)
=> ![\[y=55\]](https://tex.z-dn.net/?f=%5C%5By%3D55%5C%5D)