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. Triangle RST is shown with sides RS marked as 5, RT marked as 8, and ST marked as a. Triangle XYZ is shown with sides XY marked as b, XZ marked as 16, and YZ marked as c.

the answer is b

answer is 33

step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.