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Dafna1 [17]
3 years ago
14

M<1=146° Find m<3 and explain how you know.

Mathematics
1 answer:
nalin [4]3 years ago
6 0
<h3>Answer:  146 degrees</h3>

==========================================================

Explanation:

Angles 1 and 3 are vertical angles, which are always congruent.

Vertical angles form when we have an X shape like this. They are opposite one another. Angles 2 and 4 form the other pair of congruent vertical angles.

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The following gambling game has been proposed, which a player must pay to play. First, a value U is chosen uniformly from the se
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The player should be required to pay $5 to make this a fair game.

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3 years ago
Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chord
emmainna [20.7K]

The arcs intersected by these chords are not congruent.

Given that two circles with different radii have chords AB and CD, such that AB is congruent to CD.

Let r₁ and r₂ be the radii of two different circles with centers O and O' respectively.

Assuming that the each of the ∠АОВ  and ∠CO'D is less than or equal to π.

Then, we have isosceles triangle AOB and CO'D such that,

AO = OB = r₁,

CO' = O'D = r₂,

Let us assume that r₁< r₂;

We can see that arc(AB) intersected by AB is greater than arc(CD), intersected by the chord CD;

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Indeed,

arc(AB) = r₁ angle (AOB)

arc(CD) = r₂ angle (CO'D)

So, we have to prove that ;

∠AOB >∠CO'D       ......(2)

Since each angle is less than or equal to π, and so

∠AOB/2  and ∠CO'D/2 is less than or equal to π

it suffices to show that :

tan(AOB/2) >tan(CO'D/2) ......(3)

From triangle AOB :

tan(AOB/2) = AB/(2*r₁)

tan(CO'D/2) = CD/(2*r₂)

Since AB = CD and r₁ < r₂ (As obtained from the result of (3) ), therefore, arc(AB) > arc(CD).

Hence, for two circles with different radii have chords AB and CD, such that AB is congruent to CD but the arcs intersected by these chords are not congruent.

Learn more about congruent from here brainly.com/question/1675117

#SPJ1

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1 year ago
9. Why do some savanna plants flower for only part of the year?
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