Answer:

Step-by-step explanation:
Given:



(segment addition postulate)
(substitution)
(subtracting 17 from each side)

(Subtracting 5y from both sides)


(dividing both sides by -2)

Plug in the value of y


Let the number of contestants is n and the prizes is r
the number of ways is npr = 335p3 = 37259370 ways
Answer:
8(x+8)
Step-by-step explanation:
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.





Isolating variable terms, we get



Therefore, the value of x is equal to 4.