Question

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Answer 1

Line AE is NOT parallel to line BD. This is because the intercepts made by the lines and the transversals are not proportional

Parallel lines theorem

In the given diagram,

If

$\frac{|AB|}{|ED|} =\frac{|AC|}{|EC|}$

Then,

Line AE is parallel to line BD

From the given information,

|AB| = x = 9

|ED| = 5

|AC| = 9 + 11 = 20

|EC| =5 + 7 = 12

Thus,

$\frac{9}{20}=\frac{5}{12}$

20 × 5 = 9 × 12

100 ≠ 108

∴ The lines are not parallel

Hence, line AE is NOT parallel to line BD. This is because the intercepts made by the lines and the transversals are not proportional

Learn more on Parallel lines theorem here: brainly.com/question/3264266

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