The two triangles are similar.

what is the value of x?

enter your answer in the box.

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

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w