Answer:
[tex] x = 11 [/tex]
Step-by-step explanation:
Given that ∆CDE ~ ∆FGH
CD = 25
DE = 35
FG = 65
GH = 8x + 3
Therefore,
[tex] \frac{CD}{FG} = \frac{DE}{GH} [/tex]
(Similarity Theorem)
[tex] \frac{25}{65} = \frac{35}{8x + 3} [/tex]
Cross multiply
[tex] 25(8x + 3) = 35*65 [/tex]
[tex] 200x + 75 = 2275 [/tex]
[tex] 200x + 75 - 75 = 2275 - 75 [/tex]
[tex] 200x = 2200 [/tex]
[tex] \frac{200x}{200} = \frac{2200}{200} [/tex]
[tex] x = 11 [/tex]
