Answer:
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Hey there!
3(4y - 12) = 0
3(4y) + 3(-12) = 0
12y - 36 = 0
Add 36 to both sides
12y - 36 + 36 = 0 + 36
Cancel out: -36 + 36 because it give you 0
Keep: 0 + 36 because it help solve for the equation
New equation: 12y = 0 + 36
Simplify it
12y = 36
DIVIDE 12 to both sides
12y/12 = 36/12
Cancel out: 12/12 because that give you 1
Keep: 36/12 because it give you the y-value (also known as your overall result)
New equation: y = 36/12
Simplify it
y = 3
Therefore, your answer should be:
y = 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
729 wish you well on your assignment ~JyMarkus
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.