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3 years ago

Find the value of x and y

Mathematics

2 answers:

Aleks04 [339]3 years ago

6 0

Answer:

x=30

y=17

Step-by-step explanation:

We know that 6x+9 = 129 since they are vertical angles

6x+9 = 129

Subtract 9 from each side

6x+9 -9 =129-9

6x = 120

Divide by 6

6x/6 =120/6

x = 20

3y+129 =180 since they make a straight line and straight line are equal to 180 degrees

3y+129 =180

Subtract 129 from each side

3y+129-129=180-129

3y = 51

Divide by 3

3y/3 = 51/3

y = 17

pychu [463]3 years ago

4 0

$(6x+9)^o\ and\ 129^o\ are\ the\ vertical\ angles.\\\\\text{The vertical angles have the same measure. Therefore we have the equation:}\\\\6x+9=129\qquad\text{subtract 9 from both sides}\\\\6x=120\qquad\text{divide both sides by 6}\\\\\boxed{x=20}$

$3y^o\ and\ 129^o\ are\ the\ supplementary\ angles.\text{}\\\\\text{Supplementary angles are two angles with a sum of }\ 180^o.\\\text{Therefore we have the equation.}\\\\3y+129=180\qquad\text{subtract 129 from both sides}\\\\3y=51\qquad\text{divide both sides by 3}\\\\\boxed{y=17}\\\\Answer:\ \boxed{x=20^o\ and\ y=17^o}$

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Nitella [24]

Answer:

let the numbers be xy

general form of the number =10x+y

sum of digits of a number =14

x+y=14………[1]

if 18 is added to the number, then digits are interchanged

10x+y+18=10y +x

9x-9y=-18

X-y=-2………[2]

the linear equations are 1) x+y=14

2) X-y=-2

adding [1],[2]

2x=12

x=6

x+y=14

y=14-x

y=14-6

y=8

there fore the number =10*6+8

=68

check:-

1)6+8=14

2)68+18=86

I hope this helped!

Step-by-step explanation:

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