Angles 1 and 3 are vertical lines and because they are vertical, both angles equal each other.
The answer is 21 7/8.
The quantity of the paper needed is the area of parallelogram with a height 3 1/2 and base 6 1/4. The area of a parallelogram (A) is the product of its height (h) and base (b):
A = h * b
We have:

Thus, the area of paralleogram is:
y= 13x + 2..................................
Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
_____
Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
Using the z-distribution, the sample sizes are given as follows:
a) 822.
b) 1068.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
The margin of error is given by:

In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Item a:
The estimate is of
, hence we solve for n when M = 0.03.





n = 821.2
Rounding up, a sample of 822 is needed.
Item b:
No prior estimate, hence
.





n = 1067.11
Rounding up, a sample of 1068 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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