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3 years ago

Which of the following statements is sufficient to prove that BUGS is a parallelogram

Mathematics

2 answers:

shtirl [24]3 years ago

6 0

Answer the mashies of the angle gab would be equip to 60

Step-by-step explanation:

blsea [12.9K]3 years ago

5 0

Answer:

m∠GSB = 60°

Step-by-step explanation:

One of the ways to prove that a quadrilateral is a parallelogram is proveing that both pairs of opposite angles are congruent.

Given that m∠GUB = 60°

So, to prove that BUGS is a parallelogram it is sufficient to prove that

m∠GUB = m∠GSB = 60°

According to the previous the answer is option 1

m∠GSB = 60°

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Two airplanes are flying in the air at the same height. Airplane A is flying east at 300mi/h and airplane B is flying north at 2

Ipatiy [6.2K]

Answer:

$\frac{dAB}{dt}=340 mil/h$

Step-by-step explanation:

The change of distance over time of the plain A is 300 mi/hour and 200 mi/hour for plane B. O is the point of the airport.

So, the distance from A to O AO = 90 miles and BO = 120 miles.

Now, we have a right triangle here. We can use the Pythagorean theorem, so the distance between the planes will be:

$AB^{2} =AO^{2}+BO^{2}$ (1)

$AB =\sqrt{AO^{2}+BO^{2}}=$

$AB =\sqrt{90^{2}+120^{2}}=150 miles$

If we take the derivative of the equation (1) we could find the change of the distance between planes.

$2AB\frac{dAB}{dt}=2AO\frac{dAO}{dt}+2BO\frac{dBO}{dt}$

$2*150\frac{dAB}{dt}=2*90*300+2*120*200=102000 mil/h$

$\frac{dAB}{dt}=\frac{102000}{150*2}$

Finally,

$\frac{dAB}{dt}=340 mil/h$

I hope it helps you!

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