Answer:
1086 in² is the right answer
The value of m<BOC if both angles are vertically opposite is 41 degrees
<h3>Vertically opposite angles</h3>
Vertically opposite angles are angles that are equivalent to each other and meet at a point of intersection X
Given the following angles
m∠AOD = (5x − 4)° and
m∠BOC = (4x + 5)°,
If the angles are vertically opposite, hence;
5x - 4 = 4x + 5
Collect the like terms
5x - 4x = 5 + 4
x = 5 + 4
x = 9
Determine the measure of <BOC
m<BOC = 4x + 5
m<BOC = 4(9) + 5
m<BOC = 41 degrees
Hence the value of m<BOC if both angles are vertically opposite is 41 degrees
Learn more on vertical angles here; brainly.com/question/14362353
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6 cm because the perimeter is 24 so you divide 24 with 4 to get 6.
Standard deviation= σ= 0.1
Confidence interval= 95%= 0.95
Significance level=α= 1-0.95= 0.05
α/2 = 0.025
At α/2 z( α/2 ) =1.960 [from statistic table]
Now,
the sample size at error of 0.02 is
0.02=z( α/2 )σ/√n
0.02=(1.960)*(0.1)/√n
5/49 = 1/√n
√n=49/5
n=96.04
n should be 96 or greater