3 years ago

Which value for X makes the sentence true 1/8 X equals 1/3

Mathematics

1 answer:

Licemer1 [7]3 years ago

6 0

Answer:

x = 2 2/3

Step-by-step explanation:

(1/3)/(1/8) = 2 2/3

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Given: ABCD is a trapezoid, m∠1=m∠2, m∠3=m∠4, AB = CD, AC ∩ BD = O Prove: m∠AOD = m∠BCD

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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)

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