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3 years ago

Angle a =8x+6 Angle b= 4x+38 Solve for x and find the measure of angle b

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

Answer:

$Angle\ b= 70\°$

Step-by-step explanation:

The correct question is

Angle a and angle b are vertical angles

Angle a =8x+6

Angle b= 4x+38

Solve for x and find the measure of angle b

we know that

Vertical Angles are the angles opposite each other when two lines cross. They are always congruent.

m∠a=m∠b -----> by vertical angles

substitute the given values

$(8x+6)\°=(4x+38)\°$

solve for x

$8x-4x=38-6$

$4x=32$

$x=8$

Find the measure of angle b

$Angle\ b= (4x+38)\°$

substitute the value of x

$Angle\ b= (4(8)+38)\°$

$Angle\ b= 70\°$

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Step-by-step explanation:

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3 years ago

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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

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$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

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Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

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Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

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Substitute g(y) into f(x,y):

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The solution is f(x,y)=C1

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Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

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4 years ago

Can someone please solve number 2 ! I would literally love you forever !!!!

nadya68 [22]

Answer:

sorry i wish i knew how but i would like to give you aomething other than an answer for your question and i hope this is ok.

Step-by-step explanation:

every day is a new day and a new opportunity to change the world no matter how BIG or how small. even if you make mistakes. always remember this though. whatever you put into the world, whether it be good or bad, it will always come back three times.

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3 years ago

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kipiarov [429]

I think your question seems to be :-

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melamori03 [73]

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