If cot x° = three fourths, what is the value of b? Triangle LMN in which angle M measures 90 degrees, angle L measures x degrees, LM measures 10.5 units, and NM measures 2b units b = 4 b = 5 b = 6 b = 7

The answer would be b=7.

Step-by-step explanation:

The reason for this is that cot x = 3/4. That means tan x = 4/3. In tangent 4/3 is opposite/adjacent. So 4 is opposite and 3 is adjacent.

The picture is below if you needed it.

The answer is not 4 though because we need to put it into ratio form. 10.5 = to the 3 and 2b is equal to the 4.

Since we understand this information we now cross multiply to get the answer.

3/10.5 = 4/2b

When you cross multiply you get 7 = b.

This is the answer. To check you can put it into the ration again.

3 divided by 4 is 0.75 as is 10.5 divided by 2(7) or 14.

This is how to answer and check the problem

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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