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
it'll take 20 hours to burn!
Step-by-step explanation:
for every 2 inches it takes an hour so if you do 10 x 2 you get 20!
Answer:
Step-by-step explanation:
d = dimes and a = quarters
0.10d + 0.25a > = 3 (thats greater then or equal) <===
Answer: Annual Income Is $192000
Step-by-step explanation:
firstly know one month income we divide by 48000 by 3
= 16000
we know one month income 16000
than we for know annual income we multiply by 12
16000×12 =192000
annual income is $192000
Answer: 
Step-by-step explanation:
1. The formula for calculate th area of a square is shown below:
Where s is the side of the square.
2. Therefore, if the square tabletop has side lengths of (4x-8) units you have:
3. By definition, the square of a binomial is always a trinomial:
4. Then, you obtain:
