Yes, all sides are congruent.
3) subtract the second equation from the first...
(x+7y=64)
-(x+3y=28)
_________
4y=36 divide both sides by 4
y=9, which makes x+7y=64 become:
x+63=64
x=1
So the solution to the system of equations is the point (1,9)
4)
Subtract the second from the first:
4x-4y=24
-(x-4y=3)
_______
3x=21 divide both sides by 3
x=7, which makes x-4y=3 become:
7-4y=3
-4y=-4
y=1
So the solution to the system of equation is the point (7,1)
Based on the given details, the assumption that must be made about the sun rays if using the method of determining the circumference of a large sphere is that, the rays it emits are of a certain angle from one another and these rays would travel in parallel. These rays are not touching, therefore, its angles are the same. Hope this answer helps.
You'll use side-angle-side to prove this.
Side: AB = BC was given
Angle: How do you know that angle ABD = angle CBD?
Side: BD = BD
Substitute with the value of n in the equation to get m as follows:
at n=1:
2m=-6(1)-5=-6-5=-11
m = -11/2
at n=2:
2m=-6(2)-5=-12-5=-17
m = -17/2
at n=3:
2m=-6(3)-5=-18-5=-23
m = -23/2