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3 years ago

A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie.

Mathematics

2 answers:

GaryK [48]3 years ago

4 0

I think it would have to be Zippy the Knave and Ted be the Night.

harkovskaia [24]3 years ago

4 0

Answer:

Yes because the way they dress. One of them is a knight and one of them is a knave so ted is a knave and zippy is the knight.

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Given: ABCD trapezoid, BK ⊥ AD , AB=DC AB=8, AK=4 Find: m∠A, m∠B

Elis [28]

Answer:

$m\angle B=m\angle C=120^{\circ}$

$m\angle A=m\angle D=60^{\circ}$

Step-by-step explanation:

Trapezoid ABCD is isosceles trapezoid, because AB = CD (given). In isosceles trapezoid, angles adjacent to the bases are congruent, then

$\angle A\cong \angle D;$
$\angle B\cong \angle C.$

Since BK ⊥ AD, the triangle ABK is right triangle. In this triangle, AB = 8, AK = 4. Note that the hypotenuse AB is twice the leg AK:

$AB=2AK.$

If in the right triangle the hypotenuse is twice the leg, then the angle opposite to this leg is 30°, so,

$m\angle ABK=30^{\circ}$

Since BK ⊥ AD, then BK ⊥ BC and

$m\angle KBC=90^{\circ}$

Thus,

$m\angle B=30^{\circ}+90^{\circ}=120^{\circ}\\ \\m\angle B=m\angle C=120^{\circ}$

Now,

$m\angle A=m\angle D=180^{\circ}-120^{\circ}=60^{\circ}$

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3 years ago