<span>Vertical angles are opposite angles that share only a vertex.
When two lines intersect, we have two sets of vertical angles.
Linear pairs are two angles that form a straight line; when two lines intersect, we have two linear pairs.
If we know one of the angles formed when two lines intersect, we know that the angle opposite it, the vertical angle, has the same measure.
We also know that the angle beside it, that forms a linear pair, will be supplementary with it (add to 180); this means we can find its measure by subtracting from 180.
The remaining missing angle will be the same as this supplementary angle, since they are vertical angles</span>
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that
found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.
Step-by-step explanation:
Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form
Let's assume d is the diameter of the circle
=> the perimeter of the circle is: dπ
=> the perimeter of the half arc of a circle
= 1/2 perimeter of the circle
= 1/2dπ
Hence, the perimeter of the stage shaped like a semi-circle:
= the perimeter of the half arc of a circle + the diameter
= 1/2dπ + d
= 3/2dπ
Just substitute d into the above expression, you will find out the answer.
Hope it will find you well.
4 x 225 = 900
17500 / 900 = 19.44
Therefore he will need 20 volunteers