Vertical angles are congruent, so
107=3x-4
3x=111
x=111/3=37°
(12x^2y^−2)^5(4xy^-3)^−7
= (248832x^10y^21)/(16384x^7y^10)
= (248832x^3y^11)/(16384)
= (243x^3y^11)/16
F (x) = x^2 - 2x + 1
f (x) = (-2)^2 - 2(-2) + 1
= 4 + 4 + 1
= 9
f (x) = ( 0 )^2 - 2 (0) + 1
= 0 - 0 + 1
= 1
0 = x^2 - 2x + 1
x^2 = 2x - 1 = 1
f (2) = 2^2 - 2(2) + 1
= 4 - 4 + 1
= 1
f (3) = 3^2 - 2(3) + 1
= 9 - 6 + 1
= 3 + 1
= 4
Number of ribbons that can be cut = 6 ÷ 1/2
Number of ribbons that can be cut = 6 x 2/1
Number of ribbons that can be cut = 12
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Answer: 12 1/2 foot pieces can be cut from 6 feet ribbon
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