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2 years ago

If x+y=580 and x=3y then what are x and y?

Mathematics

2 answers:

sergejj [24]2 years ago

7 0

Answer:

x=435 ,y=145

Step-by-step explanation:

You substitute x for 3y in this equation and get

3y+y=580

from here you simplify

4y=580

and divide 580 by 4 to get what y is

y=580/4

y=145

now since x=3y you mutiply y by 3

x=3(y)

x=3(145)

x=435

hjlf2 years ago

4 0

Answer:

x = 435

y = 145

Step-by-step explanation:

The key to this problem is that x = 3y. So put that into

x + y = 580 Substitute 3y for x

3y + y = 580 Combine like terms

4y = 580 Divide by 4

4y / 4 = 580 / 4 Do the division

y = 145

x + y = 580 Substitute the value for y

x + 145 = 580 Subtract 145 from both sides

x = 580 - 145 Combine

x = 435

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17) AB = 26

18) ∠1 and ∠2 are supplementary angles.

19) ∠1 and ∠2 are vertical angles.

20) x = 7

21) 10.125° = ∠GEF

22) x = 14

23) x = 25

<h3>How to find congruent angles?</h3>

17) AC is congruent to CE.

DE = 7x - 1

BC = 9x - 2

CE = 10x + 18

DE + DE = CE

2DE = CE

2(7x - 1) = 10x+18

14x-2 = 10x+18

14x-10x = 18+2

4x = 20

x = 20/4

x = 5

Thus; AC = CE = 10x + 18

CD = 10x + 18 - 7x + 1

CD = 3x + 19

AB = 10x + 18 - (9x - 2)

AB = 10x + 18 - 9x + 2

AB = x + 18 + 2

AB = x + 20

Since x = 5

AB = 5 + 21

AB = 26

18) ∠1 and ∠2 are supplementary angles.

19) ∠1 and ∠2 are vertical angles.

20) ∠TUV = ∠TUW + ∠WUV

7x - 9 + 5x - 11 = 9x + 1

12x - 20 = 9x + 1

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x = 21/3

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21) Let ∠DEG = x. Thus;

∠GEF = 5x - 13

Thus;

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x = 162/6

x = 10.125° = ∠GEF

22) 7x - 1 + 6x - 1 = 180

13x = 182

x = 14

23) 5x + 4 = 8x - 71

3x = 75

x = 25

Read more about Congruent Angles at; brainly.com/question/1675117

#SPJ1

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