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Rational expression refers to a fraction in which the numerator and denominator are polynomials.
Answer:
The m∠ U is 72°.
Step-by-step explanation:
Given:
![\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\](https://tex.z-dn.net/?f=%5Cangle%20S%20%3D%2090%5C%5C%5Cangle%20T%20%3D%202x%5C%5C%5Cangle%20U%20%3D%20x%5C%5C%5Cangle%20V%20%3D%202x%5C%5C%5Cangle%20W%20%3D%2090%5C%5C)
To find :
![\angle U = x = ?](https://tex.z-dn.net/?f=%5Cangle%20U%20%3D%20x%20%3D%20%3F)
Solution:
The sum of the measures of the interior angles of a polygon with 'n' sides is given as
![\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180](https://tex.z-dn.net/?f=%5Ctextrm%7Bsum%20of%20the%20measures%20of%20angle%20of%20a%20polygon%20with%20%27n%27%20sides%7D%20%3D%20%28n%20-%201%29%5Ctimes%20180)
Here we have n = 5 on substituting the values we get
![\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72](https://tex.z-dn.net/?f=%5Cangle%20S%20%2B%5Cangle%20T%20%2B%20%5Cangle%20U%20%2B%5Cangle%20V%20%2B%20%5Cangle%20W%20%3D%20%285%20-2%29%5Ctimes%20180%5C%5C90%20%2B%202x%20%2B%20x%20%2B%202x%20%2B%2090%20%3D%203%5Ctimes%20180%5C%5C5x%20%2B%20180%20%3D%20540%5C%5C5x%20%3D%20540-180%5C%5C5x%20%3D%20360%5C%5Cx%20%3D%20%5Cfrac%7B360%7D%7B5%7D%5C%5Cx%20%3D%2072)
Therefore,
m∠ U is 72°.
If you could put more info ab this then i would understand what u want me to put
Answer:
36π
Step-by-step explanation:
Since you have to use terms of pi you just leave out pi out of the formula
A = πr² so it would be
A = r² Radius is half of diameter so half of 12 = 6
A = 6²
A = 36
Than you add pi
36π
Hope this helped