Respuesta :

Answer:

x = 15

x = 15

The answers should be the same because the triangles are similar.  The ratio of the sides are in the same proportion.

Step-by-step explanation:

a.  x              12

------- = --------------

20               16

using cross products

x*16 = 20 * 12

16x = 240

divide by 16 on each side

16x/16 = 240/16

x = 15


b  x              6

------- = --------------

20               8

using cross products

x * 8 = 6 * 20

8x = 120

divide each side by 8

8x/8 = 120/8

x = 15

c.  The answers should be the same because the triangles are similar.  The ratio of the sides are in the same proportion.

Answer:

x= 15 for parts A and B.

Step-by-step explanation:

x/20 is the same as 12/16 which after cross multiplying is 16x = 240. 240/16= 15 which is why x= 15 for part A. In part A you write the equation as x/20 = 6/8 which after cross multiplying is 8x = 120. 120 divided by 8 is 15 so x=15 on both parts.