The linear equation was solved using these steps. Linear equation: 1 3 (12x + 15) = 7 Step 1: 4x + 5 = 7 Step 2: 4x = 2 Step 3:
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Answer:
Step-by-step explanation:
Given :
In the given quadrilateral ABCD,
BN and DM are the perpendiculars drawn to AC such that,
BN = DM
To prove:
Point O is the midpoint of segment BD.
Or
OD = OB
Solution:
In ΔOMD and ΔONB,
∠MOD ≅ NOB [Vertical angles]
∠M ≅ ∠N ≅ 90° [Given]
Therefore, by AA property of similarity,
ΔOMD ~ Δ ONB
Therefore, their corresponding sides will be proportional,
Since BN = DM,
OD = OB
Hence O is the midpoint of BD.