Answer: m∡7 = 57° .
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Explanation:
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m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.
m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.
Given: m∡2 = 123 ;
m∡1 + 123 = 180 ;
Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
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m∡7 + 123 = 180 ; solve for "m∡7" ;
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Subtract "123" from EACH SIDE of the equation:
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m∡7 + 123 - 123 = 180 - 123 ;
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m∡7 = 57° .
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Answer:
The 95% confidence interval for the true proportion would be given by (0.570;0.630)
.
And if we convert this into % we got (57.0%, 63.0%)
Step-by-step explanation:
The information given we have the following info given:
represent the sampel size
represent the sample proportion of interest
The confidence level is 95%, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
Replacing the info given we got:
The 95% confidence interval for the true proportion would be given by (0.570;0.630)
.
And if we convert this into % we got (57.0%, 63.0%)
Answer:
24347567557
Step-by-step explanation:
√8
for the equations of circles: x²+y²= (radius)²