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Solve for x if EF = 2x + 7 and FG = 7x –9

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Solve For X If EF 2x 7 And FG 7x 9 Help Please Ill Give Brainliest class=

Sagot :

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

[tex] \therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)[/tex]

AB = BC.... (given)

[tex] \implies \frac{AB}{BC} = 1..... (2)[/tex]

From equations (1) & (2)

[tex] 1 =\frac{EF}{FG}[/tex]

[tex] {FG}={EF}[/tex]

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2