The abc toy company is creating two similar pieces for a board game, as shown below.
**find the value of x that makes the two pieces similar.**

answer:   the value of x is 14 units.

step-by-step explanation:   given that the abc toy company is creating two similar pieces for a board game as shown in the figure.  

we are to find the value of x that makes the two pieces similar.

we can see that two pieces are in the shape of triangles, δabc and δdef.

also, ab = 6 units, bc = 7 units, de = 12 units   and   ef = x = ?

for the two triangles to be similar, their corresponding sides must be proportional.

so, to make δabc and δdefδabc and δdef similar to each other, we must have

thus, the value of x is 14 units.

step-by-step explanation:

we have been given that the abc toy company is creating two similar pieces for a board game.

to find the the value of x we will use proportion as proportion states that two fractions are equivalent.

we can see that side ab corresponds to side de and side bc corresponds to side ef, so we can set a proportion for our given side lengths as:

upon substituting our given values in above equation we will get,

let us multiply both sides of our equation by 7.

therefore, the value of x equals 14 will make the two pieces similar.

quit

step-by-step explanation: