In this problem, the ratios are inversely proportional. find the missing value. if r1 = 6, r2 = 8, and i1 = 12, what is the value of i2?

Step-by-step explanation:

We have been told that the ratios are inversely proportional in our given problem. We are asked to find the missing value.

We know that two inversely proportional quantities are in form , where, y is inversely proportional to x and k is the constant of proportionality.

Let us find constant of proportionality using and in above equation.

Now, we will use and in our equation to find as:

Therefore, the value of is 9.

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.