Answer:
3x-22=80+x
3x-x=80+22
2x=102
x=51
Step-by-step explanation:
the exterior angle is (3x-22) and then is equal to sum of 80 and x
and then we get 51
Answer:
The constant of proportionality in the equation y=0.41 is 0.41
Step-by-step explanation:
Answer: this is our required factor i.e.
Explanation:
Since we have given that
As we know the identity , which says that
So, we can use this here ,
Hence this is our required factor i.e.
Answer:
um the best i can say is 25% if thats the only info you give
Step-by-step explanation:
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.
