Help fill out the proof

Mathematics

1 answer:

kondaur [170]3 years ago

5 0

Answer:

Step V: Transitive property of Inequality

Step VI: Subtraction Property of Inequality

Step-by-step explanation:

In Step IV, the RHS of t=both the sides are equal.

So, they equated the LHS of both the sides.

This is the transitive property of equality which states that if a = b and c = b then a = c.

In this case, a = $\angle {m_1} + \angle {m_2}$

b = 180⁰

c = $\angle {m_2} + \angle {m_3}$

Consequently, $\angle {m_1} + \angle {m_2} = \angle {m_2} + \angle {m_3}$

In step VI, $\angle {m_2}$ is subtracted on both the sides. So, this is called as Subtraction Property of Equality.

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What is the length of an arc with a central angle of 23π radians and a radius of 24 cm?

dalvyx [7]

We can solve for the arc length using the formula shown below:
Arc Lenght = 2pi*r(central angle/360)

We need to convert the central angle such as:
Central angle = 23pi rad * (180°/pi rad) = 23*180
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Solving for arc length:
Arc length = 2*3.14 *24*(23*180/360)
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7 0

2 years ago

I need help with this and fast if possible

11Alexandr11 [23.1K]

Answer:

<em>The answer is Hence Proved</em>

Step-by-step explanation:

Given that CB║ED , CB ≅ ED

To prove Δ CBF ≅ Δ EDF

CB ≅ ED ( Given )

This means that the length of CB is equal to ED

As CB║ED The following conditions satisfies when a transversal cut

two parallel lines

∠ EDF = ∠ FBC ( Alternate interior points )
∠ DEF = ∠ FCB ( Alternate interior points )

∴ Δ CBF ≅ Δ EDF ( By ASA criterion)

The Δ CBF is congruent to Δ EDF By ASA criterion .

<em> Hence proved </em>

6 0

3 years ago

(2a² – b) (за² + 3b)

nataly862011 [7]

Answer:

a^4+3a^2-3b^2

Step-by-step explanation:

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