Answer:
The angles inside a hexagon add up to 720.
105 + 88 + 142 + 140 + 124 + x = 720
720 - (105 + 88 + 142 + 140 + 124) = x
720 - 599 = x
<h2>x = 121</h2>
14. the length of the arc is found by using the formula 2*PI*r*angle/360
the circle has a radius of 2 and the known angle is 90 degrees
so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
the arc length = 1PI, or just PI
16. the area of the parallelogram is L x W : 9 *6 = 54
the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches
Answer: (B) - 55
Explanation: We have a hexagon, albeit irregular.
Since it is a six-sided shape, we know that the angle sum of a hexagon is 720°, using the angle sum formula, 180 · (n - 2), where n represents the number of sides.
Thus, we can say that the angles have to add up to 720°
Now, we know the missing side inside the hexagon has to be (180 - x), since x and the missing angle join to make a straight line (in other words, they are supplementary).
Now, we can say:
(180 - x) + 115 + 130 + 115 + 130 + 105 = 720
775 - x = 720
-x = 720 - 775 = -55
x = 55
-14, -2 and 0 opposite intergers
In your question where as ask to find which angel of rotation will image of the polygon coincide with the pre-image if a 12 sided regular polygon rotates about its center. I think the angle is 30 degrees because the polygon has total of 360 degree then divide it to 12 then you will came up with a 30