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lorasvet [3.4K]
3 years ago
11

A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 6x and m∠12 = 4x, then what is the measur

e of ∠5?

Mathematics
2 answers:
goldenfox [79]3 years ago
5 0

Answer;

D: 108 degrees



amm18123 years ago
3 0

Answer:

Measure of ∠5 is 108°

Step-by-step explanation:

Given m∠1 = 6x and m∠12 = 4x, we have to find the measure of ∠5.

As ∠1 and ∠5 are alternate exterior angle hence equal i.e ∠1=∠5

Also, ∠5 and ∠12 are co-interior angles ∴these are supplementary

⇒ m∠5+m∠12=180°

⇒ 6x+4x=180°

⇒ 10x = 180°  ⇒  x=18

∴ m∠5 = 6x = 6(18) = 108°

Hence, measure of ∠5 is 108°

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x^2-25=0

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$56,558.1

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Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco
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Answer:


Step-by-step explanation:

lets say in the shown triangle x=165

so speed \frac{dx}{dt} =25

and  \frac{dy}{dt} =35


Also since distance = speed* time

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y = \frac{35\pi \pi }{60}

y = \frac{7\pi }{12}


Now using the pythagorean :

x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2

<u>derivate the equation so  we get :</u>

x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}


\frac{dz}{dt} =25.387 m/s

So Rate of change = <u><em>25.387 m/s</em></u>


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How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1
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Answer:

Steps below

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