Answer:
y = 12.5
Step-by-step explanation:
Notice these are similar triangles since they have angles of the same measure (congruent angles), then there must be a proportion among their sides such that:
[tex]\frac{y+5}{5} =\frac{14}{4}[/tex]
therefore by cross-multiplying, we get:
4(y + 5) = 14 * 5
4 y + 20 = 70
4 y = 70 - 20
4 y = 50
y = 12.5
