This would be 11.83 I hope you pass your test/quiz :)
Answer:
∠EHF = 132°
Step-by-step explanation:
Both angles lie on a straight line.
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Then ∠EHF :
Answer:
0.024
Step-by-step explanation:
Sample size (n) = 146 people
The proportion (p) of people who answered that they would be interested in seeing the show again is:

The standard error for a sample of size 'n' and proportion 'p' is:

The standard error for the sample proportion of audience members who want to see the show again is 0.024.
Answer:
x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)
Step-by-step explanation:
APRB form a cyclic trapezoid
∠APO = x° (Base angle of an isosceles triangle)
∠OPR = ∠ORP (Base angle of an isosceles triangle)
∠ORB = ∠OBR (Base angle of an isosceles triangle)
∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)
Similarly;
∠ORB + ∠ORP + x° = 180°
Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR = ∠ORP we put
We also have;
∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)
Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR
Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.
Answer:
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