In the figure be||cd solve for x. show work

The value of x = 15.

Step-by-step explanation:

Given:

BE || CD

AE = 9

ED = 6

AB = x

BC = 10

To Find;

AB = x = ?

Solution:

BE || CD ......................{Given}

Basic Proportionality Theorem:

If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

i.e

...........{Basic Proportionality Theorem}

Substituting the given values we get

The value of x = 15.

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step-by-step explanation:

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