What is the value of x?
12 units
15 units 20 units
25 units

  12 units

Step-by-step explanation:

All of the right triangles in this figure are similar, so corresponding sides have the same ratio.

  short side / long side = 9/x = x/16

  x^2 = 144 . . . . . cross multiply

  x = √144 = 12

The value of x is 12 units.

Comment on this geometry

The value of x is the "geometric mean" of 9 and 16. That is ...

  RT = √(ST·QT)

There are other geometric mean relationships in this figure as well, all of which derive from the fact the triangles are similar.

  RS = √(TS·QS)

  RQ = √(TQ·SQ)

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

step-by-step explanation:

bob the banana