Answer:
y = 8
Step-by-step explanation:
Since the 2 triangles are similar then the ratio of corresponding sides are equal, that is the sides 15 and 10 and y + 4 and y, thus
[tex]\frac{15}{10}[/tex] = [tex]\frac{y+4}{y}[/tex] ( cross- multiply )
10(y + 4) = 15y ← distribute left side
10y + 40 = 15y ( subtract 10y from both sides )
40 = 5y ( divide both sides by 5 )
8 = y
