Answer:
- w = 70° . . . . alternate interior angles
- x = 70° . . . . alternate interior angles
- y = 40° . . . . angle sum in a triangle
- z = ?? . . . . not enough information
Step-by-step explanation:
The alternate interior angles theorem, and the angle sum theorem can be used here.
<h3>Alternate interior angles</h3>
Alternate interior angles are found on either side of a transversal where it crosses a pair of parallel lines. They are between the parallel lines. Their vertices are at the junction of the transversal and the parallel lines. Alternate interior angles are congruent.
In this diagram, there are two pairs of alternate interior angles where the two transversals AD and BD cross parallel lines AB and CD.
At points A and D, the alternate interior angles are 70° and x, respectively. This tells you ...
x = 70° . . . . alternate interior angles theorem
At points B and D, the alternate interior angles are w and 70°, respectively. This tells you ...
w = 70° . . . . alternate interior angles theorem
<h3>Angle sum</h3>
The angle sum theorem tells you the sum of angles in a triangle is 180°. This fact can be used to find the measure of angle y.
70° +w +y = 180°
y = 180° -70° -w = 110° -70°
y = 40° . . . . angle sum theorem
There is not enough information to determine the measure of angle z.
z = indeterminate
Answer: 24.5
Step-by-step explanation:
So you have to remember that some sections are broken into medians so you have a 2:1 ratio in some areas. So XZ is 15 right, so you'd have to divide that section by 2 to get 7.5 for XY and FZ. Next FY is split into a 2 to 1 ratio with the YC being the larger one part to that would be the 2 and the FC being the smaller part to it's 1, so you'd divide the 21 using the 2:1 so FC would be 7 and YC would be 14. Lastly, there's XE. So XE would be split into a 2:1 ratio having the XC being the bigger part so it would be 2 and CE being the smaller part to it would be 1. So XC is 10 and CE is 5.
So now add together 7.5+7+10 to get the answer 24.5
Hope that helped :)
I think it is b that is the answer
Answer:
133
Step-by-step explanation:
Snellville
12v+14b = 796
General
14v+12b =738
We need to solve for v and b where v is how many on a van and b is how many on a bus
12v+14b = 796
14v+12b =738
Divide each equation by 2
6v+7b =398
7v+6b =369
Multiply the first equation by 7 and the second equation by -6
7(6v+7b) =7(398)
42v +49b =2786
-6(7v+6b) =369*-6
-42v -36b = -2214
Add these equations together
42v +49b =2786
-42v -36b = -2214
-------------------------------
13b = 572
Divide each side by 13
13b/13 = 572/13
b= 44
Now find v
6v+7b =398
6v +7(44)=398
6v +308 = 398
Subtract 308 from each side
6v = 90
Divide by 6
6v/6 = 90/6
v = 15
We want 2 b and 3 v
2b+3v = 2(44)+3(15) = 88+45=133
Answer:
We need to sample at least 1069 parents.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How many parents do you have to sample?
We need to sample at least n parents.
n is found when 
. So
Rounding up
We need to sample at least 1069 parents.
