Answer:
Step-by-step explanation:
( 
, 
)
( 
, 
)
m = 
y - = m( x - ) point - slope form of a line.
y = mx + b slope- intercept form of a line.
~~~~~~~~~~~~~~~~~
( - 2, - 7 )
( 0, - 4 )
m = 
= 
y - ( - 4 ) = ( x - 0 )
y + 4 = x
<em>y = </em><em> x - 4</em> slope- intercept form
<em>3x - 2y = 8</em> standard form
Answer:
Pretend that H is the midpoint of AB, connect O and H
=> OH is the median of ΔOAB
Since we know that OA = OB => ΔOAB is an isosceles triangle
=> OH is also the height of ΔOAB
=> ∠OBA = ∠OAB = (180° - ∠AOB)/2 = (180° - 120°)/2 = 60°/2 = 30°
Now look at ΔOHB (that you create by connecting O and H)
We have:
cos30° = BH/OB
=> BH = cos30° · OB = √3/2 · x = (√3 x)/2
Because we have H as the midpoint of AB, we know that:
AB = 2 · BH = 2 · (√3 x)/2 = √3 x
So the answer is B
Answer:
a) 0.1818
Step-by-step explanation:
Given that:
The odd that it'll snow tomorrow is 9 to 6
The probability that it will snow tomorrow 
= 0.6
The probability that it'll not snow tomorrow 
= 0.4
Let assume that the odd that it'll snow tomorrow is 9 to 2
The probability that it will snow tomorrow 
= 0.8181
The probability that it'll not snow tomorrow 
= 0.1818
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = <u>14</u>.
Answer:
69 degrees
Step-by-step explanation:
