88 degrees is the answer. You would start by setting up the equation as (5x+7)+(8x+8)+(3x+5)=180 because all angles of a triangle have a sum of 180 degrees. From there you combine like terms which would leave the answer of being 16x+20=180 then you subtract the 20 from 180 to get x by itself. Then that would leave you with 16x=160 then you divide both sides by 16 to get x=10. From there you plug 16 into the x in the planetarium equation which is 8(10)+8 which equals 88 degrees
Answer: a. 0.542
b. 0.051
c. 
Step-by-step explanation:
Let p be the population proportion of parents spend too little time with their children because of work commitments
As per given , we have
n= 369

Since the sample proportion is the best estimate for the population proportion.
So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542
z-value for 95% confidence interval : 
Margin of error : 

The margin of error = 0.051
Confidence interval : 

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : 
Answer:d
Step-by-step explanation:
12,000 x 6.5% = 780 divided by 2 =390
All you have to do is multiply your number and then add them together !!
DC, run your finger from point d, all the way around the circle to point c. Basically, you just drew a 180 degree arc(either clockwise or counter-clockwise will work).