If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x? 2 lines inte
1 answer:
The value of x is 184.
What is the value of x?
Given Information
The measure of angle 2 = 92°
The measure of angle 4 = (x/2)°
From the figure, it can be seen that angle 2 and 4 make vertically opposite angles.
Vertically Opposite Angles
The pair of angles that are formed by two intersecting lines and are opposite to each other are defined as vertically opposite angles. The values of vertically opposite angles are always equal.
Here, in this case, ∠1 and ∠3 make a pair of vertically opposite angles. ∠2 and ∠4 form another pair of vertically opposite angles. Hence,
∠4 = ∠2
(x/2) = 92
x = 92 × 2
x = 184
Thus, the value of x is 184.
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Answer:
0.0259,0.0406
Step-by-step explanation:
Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.
a) p is the proportion of national adults who are baseball fans.
b) For 2012 poll, p=0.48
Std error =
Margin of error at 90% = 1.645 * std error
= 0.0259
c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie
d) Margin of error would be larger for 99% because critical value 2.58 >1.645
e) Margin of error 99% =