We are looking to figure out the size of m<CAB
Since line AB is parallel to the line CD, m<CAB corresponds to m<ECD which means the size of the angles equals
m<ECD can be found by using the fact that angles in a triangle add up to 180°,
hence, 180°-58°-43°=79°
The size of m<CAB is 79°
I think it is 3.25%. That is what I had got when I had did my math
Let Susan's present age be x
Now, after 7 years ( her age will become 7 +x then) she'll be 2 as old she was 3 years ago.
Her age 3 years ago must be x-3
Now according to question,
twice Her age 3 years ago = her age after 7 years
now,
2(x-3) = 7+x
2x-6 = 7+x
2x-x =7+6
x = 13
x = 13
Therefore, her age presenr age is 13 years.
Answer:
So the answer for this case would be n=22547 rounded up to the nearest integer
Step-by-step explanation:
Let's define some notation
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
represent the margin of error desire
The margin of error is given by this formula:
(a)
And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be 
and the critical value 
, replacing into formula (b) we got:
So the answer for this case would be n=22547 rounded up to the nearest integer
x-32.2= 18.5
Add 32.2 to both sides
x-32.2+32.2 = 18.5 + 32.2
x = 50.7
I hope that's help !
Check your answer
replace x by its number
50.7-32.2= 18.5
18.5 = 18.5
so the answer is good .
Please let me know if you have question(s) !
