Answer:
The distance between the two points is 
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
This assigns a name to our points:
Therefore, we can plug these into the formula and solve:
Therefore, the distance between the two points is 
.
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
2 consecutive even integers : x and x + 2
4(x) + 3(x + 2) = 20
4x + 3x + 6 = 20
7x + 6 = 20
7x = 20 - 6
7x = 14
x = 14/7
x = 2
x + 2 = 2 + 2 = 4
so ur first number (x) = 2 and ur second number (x + 2) = 4
