Find the value of X 101 92 54 87

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

I believe it would be 92 degrees. The 3 angles add up to 268 degrees, and all of the outside angles should add to 360 degrees. So 360-268=92.

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I need to find the missing angle measures.

scoray [572]

Answer:

step 1. b = 102° (vertical angles)

step 2. one complete revolution equals 360°

step 3. a + b + c + 102 = 360

step 4. a + 102 + c + 102 = 360

step 5. a + c = 156°

step 6. 2a = 156 (vertical angles are equal)

step 7. a = 78°, c = 78°.

4 0

3 years ago

How can I simplify this expression

kodGreya [7K]

Usually, "simplify" means to remove any common factors and express the sum as a single fraction, often in multiplie-out form.

If you factor what you've got, you will write it as
$\dfrac{(m+2)(m-2)}{(m+1)}+\dfrac{(m+2)}{(m+1)^2}=\dfrac{m+2}{m+1}\cdot\left((m-2)+\dfrac{1}{m+1}\right)\\\\=\dfrac{m+2}{m+1}\cdot\dfrac{(m-2)(m+1)+1}{m+1}\\\\=\dfrac{(m+2)(m^2-m-1)}{(m+1)^2}\\\\=\dfrac{m^3+m^2-3m-2}{m^2+2m+1}$