Answer:
No because upon subtracting x on both sides you obtain a false equation of 4=8.
The problem:
What are x values that satisfy:
x+4=x+8?
Step-by-step explanation:
No number can be substituted into x+4=x+8 to make it true.
There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.
Also if you subtract x on both sides you obtain the equation 4=8.
4=8 is not true so x+4=x+8 is never true for any x.
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9
B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6
C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16
D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25
The answer is D.
I’m pretty sure there are infinite solutions as the system of equations are equivalent to each other.
