Answer:
x = 16
Step-by-step explanation:
GH = x + 8
FH = 4x - 25
JH = 32
KH = 52
Since ΔFGH ~ ΔKJH,
GH/JH = FH/KH
Thus:
(x + 8)/32 = (4x - 25)/52
Cross multiply
52(x + 8) = 32(4x - 25)
52x + 416 = 128x - 800
Collect like terms
52x - 128x = -416 - 800
-76x = -1,216
Divide both sides by -76
x = -1,216/-76
x = 16
