Answer:
x = 26 2/3
y = 50
Step-by-step explanation:
you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles
2y - 3x = -3x + y + 50
add 3x to each side to get:
2y = y + 50
y = 50
also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line
3/2y + 25 - 3x = 180
subtract 25 from each side to get:
3/2y - 3x = 155
substitute 50 for 'y' to get:
3/2(50) - 3x = 155
75 - 3x = 155
-3x = 80
x = 26 2/3
Answer:
8 and - 2
Step-by-step explanation:
let x be the larger number and y the smaller , then
x = 5y + 18 → (1)
3x + 4y = 16 → (2)
substitute x = 5y + 18 into (2)
3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side
15y + 54 + 4y = 16
19y + 54 = 16 ( subtract 54 from both sides )
19y = - 38 ( divide both sides by - 19 )
y = - 2
substitute y = - 2 into (1)
x = 5(- 2) + 18 = - 10 + 18 = 8
then larger number is 8 and smaller is - 2
Answer:
x = 20, <S = 47 degrees, <P = 131 degrees
Step-by-step explanation:
27 + x + 119 + 63 + 3x + 71 = 360
4x + 280 = 360
4x = 80
x = 20
<S = 27 + x = 27 + 20 = 47 degrees
<P = 3x + 71 = 3(20) + 71 = 131 degrees
