Answer:
FG = 16
Step-by-step explanation:
we can state that ΔEFG ≅ ΔEHG due to the Angle-Angle-Side postulate
this means that FG = GH
we can use this equation to solve for 'x':
x + 11 = 3x + 1
11 = 2x + 1
10 = 2x
5 = x
FG = x + 11 or 5 + 11, which is 16
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
First, add 9 to both sides
3/4x - 9 (+9) = 27 (+9)
3/4x = 36
Next, multiply 4/3 to both sides
(4/3)(3/4)x = 36(4/3)
x = 36(4/3)
Simplify.
x = 12(4)
x = 48
48 is your answer for x.
hope this helps
