The two triangles are similar.

what is the value of x?

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Labelled the diagram as shown below

Given triangle ABC and triangle CDE are similar.

by definition of similar triangle:

Corresponding sides are in proportion:

Here, AC = 8 units, DC =8+6 = 14 units, and BC = 2x-2 units and CE= 3x units.

Substitute these we have;

Simplify:

By cross multiply we have;

Using distributive property:

Subtract 14x from both sides we get;

Divide by b-2 to both sides we get;

x = 7

Therefore, the value of x is, 7

answer: i think it's a

step-by-step explanation: