Respuesta :

Answer:

x = 10 and 2/3

y = 10

Step-by-step explanation:


For this case, we have that by definition:

When two triangles are similar, the corresponding angles are congruent and the corresponding sides are proportional.

Then, we find the value of "y":

[tex]\frac {21} {15} = \frac {14} {y}\\y = \frac {14 * 15} {21}\\y = 10[/tex]

We look for the value of "x":

[tex]\frac {21} {16} = \frac {14} {x}\\x = \frac {14 * 16} {21}\\x = 10.67[/tex]

Answer:

[tex]x = 10.67 = 11\\y = 10[/tex]