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THESE ARE DUE TODAY HELPPPPPP

THESE ARE DUE TODAY HELPPPPPP-example-1
User Cos Callis
by
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1 Answer

9 votes

Answer:

x = 12 and y = 31

Explanation:

Hey There!

So the two angles with x are interior angles meaning that they are congruent

So to solve for x we use the equation

3x+17=5x-7

step 1

add 7 to each side

17+7=24

-7+7 cancels out

now we have

3x+24=5x

step 2 subtract each side by 3x

3x-3x cancels out

5x-3x=2x

were left with

2x=24

final step divide each side by 2

24/2=12

2/2 cancels out

x=12

now we plug it into one of the expressions

3x12=36

36+17=53

the angle that is equal to 53 is supplementary to the angle with y meaning that they add up to 180

so to solve for y we use this equation

180=4y+3+53

step 1 combine like terms

53+3=56

now we have

180=4y+56

step 2 subtract each side by 56

180-56=124

124=4y

step 3 divide each side by 4

124/4=31

y=31

so we can conclude that

x=12 and y = 31

User Nitseg
by
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