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3 years ago

What is the degree of angle e and g

Mathematics

2 answers:

Zina [86]3 years ago

3 0

Answer:

e=g = 126 degree

Step-by-step explanation:

e = g (opposite angles's property)

g+ b = 180 ( supplementary angles's property)

b = 54 degree (opposite angles's property)

-> g = 180-54 = 126

-> e = 126 degree

nika2105 [10]3 years ago

3 0

Answer: 126 degrees

Step-by-step explanation:

First, we find the one angles we do the the degree of and that’s 54. The 54 degree angle is the same as the d angle.

Next, the d and e angle make a 180 degree angle, so e can be found by using this equation: 54 + __ = 180. 180 - 54 = 126.

Finally, since d and f, and e and g share the same lines, it means that the angle across from it will have a same measurement. So, if e = 126, then g has to also equal 126 degrees.

Hope this helped!

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The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m

Keith_Richards [23]

Answer:

a) $\left(x,y\right)=\left(4.95,-4.95\right)$

b) $r\angle\theta = 7\angle0.5236\,\text{radians}$

Step-by-step explanation:

Polar coordinates are represented as: $r\angle\theta$ , where 'r' is the length (or magnitude) of the line, and ' $\theta$ ' is the angle measured from the positive x-axis.

in our case:

$7\angle\dfrac{3\pi}{4}$

to covert the polar to cartesian:

$x = r\cos{\theta}$

$y = r\sin{\theta}$

we can plug in our values:

$x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}$

$y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}$

the Cartesian coordinates are:

$\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)$

$\left(x,y\right)=\left(4.95,-4.95\right)$

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

$r^2 = x^2+y^2$

$r^2 = (6.06)^2+(-3.5)^2$

$r = \sqrt{48.97} \approx 7$

the angle can be found by:

$\tan{\theta} = \dfrac{y}{x}$

$\tan{\theta} = \dfrac{3.5}{6.06}$

$\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}$

$\theta = 0.5236 \text{radians}$

to convert radians to degrees:

$\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ$

writing in polar coordinates:

$r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}$

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3 years ago

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Sav [38]

Answer:

<u><em>Longest</em></u>

Step-by-step explanation:

The moon appears red during a lunar eclipse because red is the <u><em>Longest </em></u>wavelength of light in the color spectrum present in sunlight.

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2 years ago

13p + 5p - 9p -2p=7 what is p

Law Incorporation [45]

Answer:

p=1

Step-by-step explanation:

18p-9p=9p

9p-2p=7p

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2 years ago

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Answer:

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