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.

numerical answers expected!

answer for blank 1:

Both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue segment is 5. how long is the red line segment?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?

Acircus act has 3 times as many elephants as acrobats. jorge noticed that all together there were 56 legs in the circus ring. how many elephants were in the show?