Devaughn is 11 years younger than sydney. the sum of their ages is 83. what is sydney's age?

Sydney is 72.

Step-by-step explanation:

It is important to note the word "sum" in the problem.  The definition of sum is the product of addition.  And to get the inverse of addition you would use subtraction.  So you subtract 11 from 83 (83 - 11) which equals 72.  

You can check this by adding 72 + 11 and making sure it equals the overall sum of 83 which it does.

So glad I could help!  Feel free to comment any questions.  

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

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.