Respuesta :

Answer:

x = 3 and y = 2

x = 1.25 and y = 1.75

Step-by-step explanation:

Part 1:  

See the diagram first.

If the two arrow lines are parallel then, the two triangles are similar.

So, the corresponding sides of the triangles are proportional.

So, [tex]\frac{3}{1.5} = \frac{6}{x} = \frac{4}{y}[/tex]

Hence, x = 3 and y = 2 (Answer)

Part 2:  

See the diagram first.

If the two arrow lines are parallel then, the two triangles are similar.

So, the corresponding sides of the triangles are proportional.

So, [tex]\frac{10}{8} = \frac{x + 5}{5} = \frac{y + 7}{7}[/tex]

⇒ [tex]x + 5 = \frac{50}{8} =6.25[/tex]

x = 1.25

Again, [tex]y + 7 = \frac{70}{8} =8.75[/tex]

y = 1.75  

Hence, x = 1.25 and y = 1.75 (Answer)