Answer:
60°, arms 6
Step-by-step explanation:
let the total arms = n
total generated angles in a regular polygon is = (n-2)×180
now,
(n-2)×180 = 120 n
or, 180n - 360 =120n
or, 60n = 360
or, n = 6
First find the numbers with the factors of:
2,3,4,5,6,7
find the minum
if something has a factor of 6 then it also has a factor of 3 and 2 so just multiply by the lcm of all of them which is found by
2=2
3=3
4=2 times 2
5=5
6=2 times 3
7=7
LCM=2 times 2 times 3 times 5 times 7=420
now divide 100000 by 420 and round down
100000/420=238.095=238.1 round doen 238
multiply 420 by 238 and get 99960
that is the answer 99960
Properties of polygons.
Step-by-step explanation:
(1) Both pair of opposite sides are congruent. <u>Distance Formula</u>
(2) Both pairs of opposite sides are parallel. <u>Slope Formula</u>
(3) Diagonals are congruent . <u>Distance Formula</u>
(4) Diagonals bisect to each other. <u>Midpoint Formula</u>
(5) Diagonals are perpendicular. <u>Slope Formula</u>
(6<u>)</u> Sides of polygon create a right angle. <u>Slope Formula</u>
(7) A triangle is isosceles /equilateral. <u>Distance Formula</u>
Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
