Each side equals 100 * (the square root of 3) Because a hexagon is made out of 6 equilateral triangle
To subsitute, we need to solve for 1 variable
let's solve for x in bottom equation
x-2y=2
add 2y both sides
x=2y+2
sub 2y+2 for x in other equation
-5(2y+2)+3y=11
-10y-10+3y=11
-7y-10=11
add 10 to both sides
-7y=21
divide both sides by -7
y=-3
sub back
x=2y+2
x=2(-3)+2
x=-6+2
x=-4
(x,y)
(-4,-3)
Answer: The plane travel approximately 806 miles.
Step-by-step explanation:
Given: Johnny is in Nebraska and needs to go to Texas, which is about 700 miles due south. From there, he will head east to Louisiana, about 400 miles from where he arrived in Texas.
So while he is traveling, a plane takes off from Nebraska and flies to Louisiana , it will make a right triangle such that the distance he travel from Nebraska to Louisiana will become hypotenuse of the triangle.
Let H be the distance plane travel from Nebraska to Louisiana
By Pythagoras theorem, we have

Hence, The plane travel approximately 806 miles.
Area=length times width
length=13 inches
width=12 inches
area=13 times 12=132 squrae inches