Question

If triangle CDF ∼ triangle MKP, what is the value of x?

0.2
1.6
4.8
5.4

Answer 1

x/8=1.8/9 multiply both sides by 8

x=14.4/9

x=1.6

Answer 2

The value of x is 1.6

Explanation:

We have been given that triangle CDF ∼ triangle MKP.

Therefore, the ratio of the corresponding sides are equal.

Hence, we have

`(DC)/(MK)=(CF)/(MP)`

Plugging the known values, we get

`(9)/(1.8)=(8)/(0.x)`

Cross multiplying, we get

`9x=8*1.8`

Divide both sides by 9

`x=(8*1.8)/(9)`

Simplifying, we get

`x=8*10.2\\\\x=1.6`

The value of x is 1.6