Find the value of x. round to the nearest tenth. the diagram is not drawn to scale.

12.0

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig function relating the adjacent side of an angle in a right triangle to the hypotenuse:

Cos = Adjacent/Hypotenuse

Filling in the given values, we have ...

cos(24°) = 11/x

Multiplying this equation by x/cos(24°), we get ...

x = 11/cos(24°) ≈ 12.0

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