If y varies inversely with x and y triples, then what happens to x?

The value of x is reduced to one third when the value of y is tripled.

Step-by-step explanation:

Here,  y varies inversely with x.

⇒

Here, k = Constant of Proportionality.

⇒   k = x y  ..........  (1)

Now, given y' = 3 y

to find the value of x'

Putting the value in

or, k  =  3 y x '..........  (2)

From above statement  (1) and (2)

⇒ xy  = 3yx'

or, x '   =  x/3

Hence, the value of x is reduced to one - third  when the value of y is tripled.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

probably .5

i can on others if necessary.