Answer:
x = 84
Step-by-step explanation:
Sum of angles around a point = 360
Sum of given angles = 132+54+90 = 132+144 = 276
So, x must cover the angle remaining from 276 to form 360, which is
360-276 = 84degrees.
Hope this helps
Answer:
Step-by-step explanation:
To preface, your figure is going to be a line segment, with 
as your midpoint, in between points 
& 
With that being said:
Identify your values:
Substitute the values into the first equation:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
Substitute 
for in segments 
& 
:
Solve:
Check your answers by substituting:
Answer:
m = 7.1
Step-by-step explanation:
3 (m -5) + 8 = 7 -1/2 (4m - 11)
So, what I did first was distribute the values in the parenthesis to get,
3m - 15 + 8 = 7 -2m -5.5
Now that we have the parenthesis taken care of we can do the simpler math,
3m - 23 = 7 -2m - 5.5
I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.
3m - 23 = 7 -2m -5.5
<u> +5.5 +5.5</u>
3m - 28.5 = 7 - 2m
Here we can do the same with the -2m.
3m - 28.5 = 7 - 2m
<u>+2m +2m</u>
5m - 28.5 = 7
To get rid of the -28.5 I added it to the 7 getting an answer of,
5m - 28.5 = 7
<u> + 28.5 +28.5</u>
5m = 35.5
Finally, divide 5m and 35.5 both by 5.
5m/5 = m
35.5/5 = 7.1
Answer: m=7.1
Sorry it's really long, but I hope this helps! Have a great day!
Given :
Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.
Her tips averaged 18% of the total amount spent by all the groups of customers that day.
To Find :
Brianna's tip income earnings on Friday.
Solution :
Total amount of money spent by 12 groups :
P = $ 12×186 = $2232 .
She got tip of 18% of the total amount spent by all the groups of customers.
Brianna's tip income earnings on Friday is $446.4 .
Hence, this is the required solution.
