The ABC Toy Company is creating two similar pieces for a board game as shown below. Find the value of b that makes the two pieces similar.

can I speak to the manager?

math lol December 16, 2016 at 2:34pm your answer is not "lol" as you say:(

To find the value of b that makes the two pieces similar, we need to consider the definition of similarity. Two figures are similar if their corresponding angles are congruent and their corresponding sides are proportional.

In the given diagram, we have two similar figures: one is the larger figure (with side lengths a, b, and c) and the other is the smaller figure (with side lengths 10, 6, and b).

To find the value of b, we can set up a proportion using the corresponding side lengths:

a / 10 = b / 6 = c / b

Since we want to find the value of b, we can use the first two ratios:

a / 10 = b / 6

We can cross multiply in order to solve for b:

6a = 10b

To isolate b, divide both sides by 10:

b = (6a) / 10

Simplifying further:

b = 3a/5

So, the value of b that makes the two pieces similar is b = 3a/5.