Question

Find X.
Math it’s.com

Answer 1

value of x = 8

Explanation:

well here,

line x is parallel to the line measuring 18

so the two triangles are similar to each other

hence ratio of their sides are equal

so 6/ 12 = x/ 16

=》1/2 = x/16

=》 x = 16 / 2

=》 x = 8

i hope u got it

have a nice day

Answer 2

x =
`(16)/(3)`

Explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

`(6)/(6+12)` =
`(x)/(16)` , that is

`(6)/(18)` =
`(x)/(16)` ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x =
`(96)/(18)` =
`(16)/(3)`