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:
Option A
Step-by-step explanation:
Statistics is basically the analysis of figures and data to give explanatory understanding of these figures and data in form of an information for future research, further analysis and development.
Data is an important tool for development and some are represented in form of figures and the only way to extract some information is using statistics, which is a mathematical tool.
Technological advancement has always been as the end product of information extracted from data in different forms. statistics has various methods to explain data processes and that is why data scientists and statisticians have a good bond in this profession because they share the same idea to give a common goal which is information
Answer:
30%
Step-by-step explanation:
3+4+6+7= 20
6 (green) / 20
= 30%
Step-by-step explanation:
<em>Given</em>
<em>radius </em><em>(</em><em>r) </em><em> </em><em>=</em><em> </em><em>9</em><em> </em><em>cm</em>
<em>Area </em><em>of </em><em>the </em><em>circle </em><em>(</em><em>A) </em><em> </em>
<em>=</em><em> </em><em>π</em><em>r²</em>
<em>=</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>9</em><em>²</em>
<em>=</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>8</em><em>1</em>
<em>=</em><em> </em><em>2</em><em>5</em><em>4</em><em>.</em><em>3</em><em>4</em><em> </em><em>cm²</em>
