474,712 views
15 votes
15 votes
The value of y is:

please help thanks so much.

The value of y is: please help thanks so much.-example-1
User Erpheus
by
2.8k points

2 Answers

12 votes
12 votes

Answer:

  • C) 14

Explanation:

Parallel lines divide the transversals proportionally.

Set proportions and solve for y:

  • y/(y + 21) = 10/(10 + 15)
  • y / (y + 21) = 10/25
  • y / (y + 21) = 2/5
  • 5y = 2(y + 21)
  • 5y = 2y + 42
  • 5y - 2y = 42
  • 3y = 42
  • y = 14

Correct choice is C

User Louis Charette
by
2.7k points
15 votes
15 votes

Answer:

y = 14

Explanation:

If a line is parallel to a side of a triangle and it intersects the other two sides then it divides those sides proportionally , that is


(y)/(21) =
(10)/(15) =
(2)/(3) ( cross- multiply )

3y = 42 ( divide both sides by 3 )

y = 14

User Shyam K
by
2.8k points
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