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Luda [366]
3 years ago
8

The measure of the angles of a triangle are given as 2x°, 3x°, and 4x°. What are the measures of each angle?

Mathematics
1 answer:
zmey [24]3 years ago
5 0

Step-by-step explanation:

For triangle total degree=180°

2x+3x+4x=180

You get x=20°

Hence angles respective are..

40°,60°,80°

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Point D is located on MN at (2,43). What ratio relates MD to DN?
Eva8 [605]

The ratio of MD to DN is equal to 2.

<h3>How to find the partition ratio for a line segment</h3>

In accordance with the image set aside, the locations of the points M and N are M(x, y) = (- 6, - 4) and N(x, y) = (6, 4), respectively. Now we determine the vectors associated to line segments MD and DN by vector sum:

<u>MD</u> = D(x, y) - M(x, y)

<u>MD</u> = (2, 4 / 3) - (- 6, - 4)

<u>MD</u> = (8, 16 / 3)

<u>DN</u> = N(x, y) - D(x, y)

<u>DN</u> = (6, 4) - (2, 4 / 3)

<u>DN</u> = (4, 8 / 3)

Lastly, we find the length of each line segment by Pythagorean theorem:

MD = √[8² + (16 / 3)²]

MD = (8 / 3)√13

DN = √[4² + (8 / 3)²]

DN = (4 / 3)√13

And the ratio of MD to DN is:

MD / DN = [(8 / 3)√13] / [(4 / 3)√13]

MD / DN = 2

The ratio of MD to DN is equal to 2.

<h3>Remark</h3>

The statement presents typing mistakes, we kindly present the correct form below:

<em>Point D is located on line segment MN at (2, 4 / 3). What ratio relates MD to DN?</em>

To learn more on line ratios: brainly.com/question/3148758

#SPJ1

4 0
1 year ago
Please help me please!
Mazyrski [523]

Answer:

1. a

2. b

3. c

4. d

Step-by-step explanation:

3 0
3 years ago
Solve<br> y=2x2-3x-1<br> y=x-3
4vir4ik [10]

Answer:

The value of x is 1 and y = -2

Step-by-step explanation:

y = 2x²- 3x - 1;

y = x - 3

2x²- 3x - 1 = x - 3

2x² - 3x - 1 - x + 3 = 0

2x² - 4x + 2 = 0

take 2 as common

2(x² - 2x + 1) = 0

x² - 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1) (x - 1) = 0

x - 1 = 0 or x - 1 = 0

x = 1 or x = 1

Now,

y = x - 3

y = 1 - 3

y = - 2

Thus, The value of x is 1 and y is -2

<u>-TheUnknown</u><u>Scientist</u>

4 0
2 years ago
A package of aa batteries cost 3.59 plus an additional 6 percent tax.what is the price after tax
antoniya [11.8K]
2 ways to do this...

(1) 3.59 * 1.06 = 3.8054 rounds to 3.81

(2) 3.59 + 0.06(3.59) = 3.59 + 0.2154 = 3.8054 rounds to 3.81
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=what%20%5C%3A%20is%20%5C%3A%20the%20%5C%3A%20formula%20%5C%3A%20of%20%5C%3A%20volume%20%5C%3A%
rusak2 [61]

Answer:

volume of cylinder= πr²h

8 0
3 years ago
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