P
=
12
5 this is what I got for that
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.
It’s finding the area but with more numbers so start from the bottom and work your way up
Answer:
5/6
Step-by-step explanation:
to add fractions they need to have a common denominator
make 1/3 have a denominator of 18
1/3(6) = 6/18
9/18 + 6/18 = 15/18
15/18 can be simplified to 5/6
Answer:
B) 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Step-by-step explanation:
<u>Explanation</u>:-
<em> Given Event A and Event B are mutually exclusive.</em>
<em> Given data P(A) = 0.45
</em>
<em> P(B) = 0.35</em>
<em> P(C) = 0.25</em>
<em>The probability of the complement of Event A</em>
<em> P( A⁻ ) = 1 - P( A)</em>
= 1 - 0.45
= 0.55
<u><em>Final answer</em></u>:-
<em>The probability of the complement of Event A = 0.55</em>