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Karolina [17]
3 years ago
13

Find the value of x and y in the triangles below

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

x=9 y=24


Step-by-step explanation:

take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.

which equals 133

subtract 133 from 180 and get 47

then set 5x+2 = 47 because opposite angles are equal to each other

-2 on both sides

5x=45

divide by 5

x=9

then take 3y+1=?

add 47 + 60 =107

180-107=73

3y+1=73

-1 both sides

72

divide by 3

y=24


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What is <br><br> 3x+2y=-13<br> 3x+4y=1
Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

Or

y = 2 1/3

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3 years ago
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Read 2 more answers
7 over 14 in its simplest form
eduard

Answer:

1/2

Step-by-step explanation:

Half of 14 is 7 therefore it is 1/2

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