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Naily [24]
3 years ago
11

PLZ HELP! Complete this proof. Given: a | | b Prove: ΔMOP ~ ΔRON

Mathematics
1 answer:
SashulF [63]3 years ago
6 0
As shown in the given figure
line a // line b ⇒ given
MR  and  NP  are transversals 
So, for ΔMOP and ΔRON , we can conclude the following
(1)  ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent

So, from 1,2 and 3
∴  ΔMOP <span>~ </span>ΔRON  by  AAA-Rule

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Step-by-step explanation:

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I_{corner} = \int\limits \int\limits_R (x^2+y^2)  \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx

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I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Thus; the moment of inertia of the lamina about one corner is I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

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