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Iteru [2.4K]
2 years ago
5

Tell wether the angles are adjacent or vertical. Then find the value of x.

Mathematics
1 answer:
Gre4nikov [31]2 years ago
8 0

Answer:

The angles are vertical

Step-by-step explanation:

x+42+2x+1=180

put the like terms together i.e 2x+x+42+1=180

you get: 3x+43=180

Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)

You get 3x=137

Divide both sides by 3

you get x=45.666666666667(Round off to get 45.67)

Substitute the value of x to the angles

x+42(45.67+42=87.67)

2x+1(2(45.67)+1=92.34

Add 87.67+92.34=180

THis shows that the angles are vertical

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(3x + 5y = 7<br> { 4x - y = 5
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Answer:

Step-by-step explanation:

Solution by substitution method

3x+5y=7

and 4x-y=5

Suppose,

3x+5y=7→(1)

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Taking equation (2), we have

4x-y=5

⇒y=4x-5→(3)

Putting y=4x-5 in equation (1), we get

3x+5y=7

⇒3x+5(4x-5)=7

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⇒23x-25=7

⇒23x=7+25

⇒23x=32

⇒x=32/23

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Now, Putting x=32/23

in equation (3), we get

y=4x-5

⇒y=4(32/23)-5

⇒y=(128-115)/23

⇒y=13/23

∴y=13/23   and x=32/23

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