You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Answer:
72 55/76
Step-by-step explanation:
it's right trust me <3
<span>Y=2/3x+3 so slope = 2/3
</span><span>2x-3y=8
3y = 2x - 8
y = 2/3x - 8/3 so slope = 2/3
both equations have same slope = 2/3
so answer: </span><span>parallel</span>
Answer:
Solutions of x are;
x = -7 + 8i and x = -7 -8i
Step-by-step explanation:
Given the equation: 
Add 96 both sides we get;
Using quadratic formula 
then the solution is given by:
On comparing we have;
a= 1, b =14 and c =113
or
Simplify:
; where i is the imaginary, 
or
Therefore, the solution of x are; x = -7 + 8i and x = -7 -8i
Answer:
1200/3 and 1200/2
Step-by-step explanation:
400/600
