Answer:
2(x-2)≥ 24
Step-by-step explanation:
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D
Therefore also ∡2 = ∡3 (they are half of the congruent angles)
For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.
Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)
T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4
∡AOD = ∡BCD because their measure is the difference of congruent angles.
The answer is (3x^2 - x +2 )= to AC
Area = 1/2 |BD| |AC|
(9x^3 - 3x^2 + 6x) = 1/2 (AC) 6x
3x ( 3x^2 - x +2 )= 1/2 (AC) 2(3x)
3^2 - x +2 = AC
using pythagorean theorem
a^2 + b^2 =c^2
a^2 +8^2 =14^2
a^2 +64 = 196
subtract 64 from each side
a^2 = 132
take the square root of each side
a^2 = sqrt (132)
a=11.48912529
a =11.5
well, a and d are true, and b is somewhat false...
angles that are both less than 90 degrees and higher than 0 have to add up to equal 90, not just be less than 90
c, is the same thing. Straight angles are 180 degrees, but supplementary means two angles add up to equal 180 degrees, not just one
so b and c may be true, im not sure
i know that a and d are true, therefore they are not the right answer