Step-by-step explanation:
7. Since they are similar triangles we have:

So DF is 15
8. They are also similar. So:

So PR is 10
Answer: 
Step-by-step explanation:
You know that "Z" is the midpoint of "YA". This means the following:

Now, you know that the expression for "YZ" is:

And the given expression for "ZA" is:

Knowing these expressions, you can substitute them into
, as following:

Finally, you must add these expressions in order to get "YA".
Therefore, this is:

Answer:
Range = 31
Step-by-step explanation:
Range = Highest No. - Lowest No.
Where Highest No. = 41, Lowest No. = 10
So,
Range = 41 - 10
Range = 31
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, the angles of a triangle add up to equal 180, regardless of the size of the triangle. We are given the angle measures, so adding them together and setting them equal to 180 is
60 + 3x + x + 20 = 180 and, combining like terms,
4x + 80 = 180. Subtracting 80 from both sides,
4x = 100 so
x = 25