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Find the value of x need answer quick please I tried to make question worth more but I don’t know how :(

Find the value of x need answer quick please I tried to make question worth more but-example-1

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When parallel lines are cut by transversals, the lengths of the segments of the transversals are proportional.

6/4 = 5/x

6x = 5 * 4

6x = 20

x = 20/6 = 10/3

x = 3 1/3

Answer: B. 3 1/3

User Ieure
by
7.6k points
5 votes

In the figure we have three parallel lines cut by two transversals

The theorem stares:

If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

Applying this theorem we have:


(4)/(x) =(6)/(5)

To solve for x we cross multiply

6x=20

Dividing both sides by 6 we have:


x=(20)/(6) =(10)/(3) =3(1)/(3)

The second option x=
3(1)/(3) is the right answer

User Rosana
by
8.0k points

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