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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What are the options

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle