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:
0.2y+10
Step-by-step explanation:
Answer:
answer choice b
Step-by-step explanation:
Angle dba
Answer:
Option C is correct
Step-by-step explanation:
We need to factorize the expression:
For factorization we need to break the middle term such that the product is equal to 24x^2 and the sum is equal to 10x
We know that 6*4 = 24 and 6+4 =10
So, solving
Taking common
So, the factors of
are
Hence Option C is correct
B. Because if she has to make a payment of $2,316 twice a year it would be $4,632. Then you divide that by how many months there are in a year so 12. Then you get B. $386
