Answer:
7) Yes
8) Yes
Step-by-step explanation:
7) Use the Same-Side Interior Angles postulate
8) Use Vertical Angles
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:
x=-4
Step-by-step explanation:
First, write the expression and distribute.
-2(2x+11)=5x+14
-4x-22=5x+14
Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.
-4x-22=5x+14
<u>+4x +4x</u>
-22=9x+14
Now, subtract 14 on both sides.
-22=9x+14
<u>-14 -14</u>
-36=9x
Divide both sides by 9.
-36=9x
<u>/9 /9</u>
-4=x or x=-4 (they both mean the same thing)
Have a wonderful day! I hope this helped :3