A party is held in a large tent with a perimeter between 100 m and 150 m. A robot travels along the perimeter to serve refreshments to guests. It is
programmed in such a way that it travels 3 metres,
then turns through an angle of x degrees clockwise, travels
another 3 metres, then turns through an angle of x degrees
clockwise, and so on, until it reaches its initial
position where the staff will top up the
refreshments. Given that the robot is only able
to turn through an integer value of x, find two
possible values of x and the corresponding
perimeters of the tent.​

Step-by-step explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°

correct answer:

a + bi

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)