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3 years ago

In rhombus ABCD , m∠EAB=27∘ . What is m∠EBC ?

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

27 degrees

Step-by-step explanation:

is the answer

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On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th

Novay_Z [31]

Answer:

$y=3x-5$

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

$m=(1-2)/(0+3)=-1/3$

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

The slope is

$m=3$

step 3

Find the equation of the line in point slope form

we have

$m=3$

$point(3,4)$

$y-4=3(x-3)$ ----> equation in point slope form

Convert to slope intercept form

$y=3x-9+4$

$y=3x-5$

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3 years ago

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Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

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3 years ago

What is that symbol the one that's a circle with the - through it

vredina [299]

The answer is Theta.

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3 years ago

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Solve the formula do you equals RT for T for the time in hours that it would take van Dyck to travel 26.2 miles of his average s

artcher [175]

Answer:

1.45 hours

Step-by-step explanation:

Total miles to travel by Dyck= 26.2 miles

Average Speed = 18 mph

we have to find the time taken to cover the distance

Total time taken to cover distance= $\frac{Total distance}{Total Time taken}$

Total time taken to cover distance= $\frac{26.2}{18}$

Total time taken= 1.45 hours

Hence, the correct answer is 1.45 hours

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4 years ago

Two lines that lie in parallel planes are

Alchen [17]

<u>Answer:</u> Parallel.

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3 years ago