If FD=4x-27, and SG is congruent to FD and SG=2x-3, Then whais the length of SG?
looks like 4x-27 = 2x-3
so, x=12
and SG = FD = 21
Thank you:) I got x=12 too but I wanted to make sure I was correct.
To find the length of SG, we need to equate it to FD and solve for x.
Given that SG is congruent to FD, we can set them equal to each other:
2x - 3 = 4x - 27
Now, let's solve the equation for x.
First, we can simplify the equation by collecting like terms:
2x - 4x = -27 + 3
-2x = -24
Next, divide both sides of the equation by -2 to isolate x:
(-2x) / -2 = (-24) / -2
x = 12
Now that we have the value of x, we can substitute it back into the equation for SG's length:
SG = 2x - 3
SG = 2(12) - 3
SG = 24 - 3
SG = 21
Therefore, the length of SG is 21.