<span>|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides
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<span>∴ |7x-7| = 4x - 2
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According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11
∴ x = 5/3 and 9/11
So, the correct answer is option <span>B. 5/3 and 9/11</span>
Step One
Figure out the interior angle
25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.
180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is
interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)
154.2857 / 180 = 1 - 2/n)
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
Diameter = 2* the radius of a cylinder
radius is half the diameter of a cylinder
i.e. r = d/2
An obtuse triangle must have an angle greater than 90degrees (cannot equal 90). Therefore, A. would be the correct answer. This is because A. is the only set of angles that includes an angle greater than 90. Also, all angle measures add up to equal 180degrees.
