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lina2011 [118]
3 years ago
8

In parallelogram LMNP if PQ=21 find QM.

Mathematics
1 answer:
Simora [160]3 years ago
8 0

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

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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,

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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

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

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tan(AOB/2) = AB/(2*r₁)

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6 0
2 years ago
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it f
choli [55]

Answer:

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Given A ladder leans against the side of a house

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