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:
C. 56
Step-by-step explanation:
7*8=56
Answer:
∅ ≈ 56.31°
Step-by-step explanation:
The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.
The illustration forms a right angle triangle. The adjacent side of the triangle is 6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.
Let
∅ = angle of depression
tan ∅ = opposite/adjacent
tan ∅ = 9000/6000
tan ∅ = 1.5
∅ = tan⁻¹ 1.5
∅ = 56.309932474
∅ ≈ 56.31°
Answer:
The answer is Phone Surveys.
Step-by-step explanation:
We can say that there are 4 main types of survey methods and they are "In-Person Surveys", "E-mail Surveys", "Phone Surveys" and "Online Surveys".
In-Person Surveys are out of the question in the situation that is described because we need the fastest possible method.
E-mail Surveys and Online Surveys are at completed at a time that the other party chooses so we have no control over how fast we can get the results.
The fastest and best option we can use for the situation Dr. Lee's in is Phone Surveys because they are direct and give quick results over a short amount of time and they can be scheduled according to our needs.
I hope this answer helps.
Answer:
Step-by-step explanation:
The 90th term of the arithmetic sequence is 461
a90=a1+(90-1) x d
a90=16+89 x 5
a90=461
