Drawing a diagonal means to connect a vertex with another non-adjacent vertex.
So, for each vertex, we have 8-3=5 possible diagonals. This leads to a total of 8*5=40 diagonals.
We have to divide this number by 2 though, because in this way we're counting each diagonal twice (connecting points AB or BA gives the same diagonal).
So, an 8 sided shape has 20 diagonals.
Answer:
9
Step-by-step explanation:
if hes 6 now and shes or he is 2 tokes older nabin would be 6 with Kiran was 3 so now it's 9 cause they are 3 years apart
Answer:
We are given the below probability distribution table:
x P(x)
100 0.180
200 0.051
300 0.227
400 0.113
500 0.090
600 0.099
700 0.165
800 0.075
Now to find the mean, we have to use the below formula:
Therefore, the mean is
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is = = - 2.5
Side side side, side angle side, and angle angle side