Find the missing lengths:
hi=7 and lh=9, find lk.

LK=12    

Step-by-step explanation:

From the given figure, HI=7 and LH=9, and we know that

                            (1)

Now, from ΔKHL, we have

and from ΔOKH,

                                (2)

Also, ΔIKL is similar to ΔOHL, therefore

Using equation (2), we get

Thus, the value of LK is 12.

the 4th choice is the correct one

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional