A straight angle = 180 so you have the cute angle given so it would be x + 47 = 180 same as 180-47= 133. Therefore x=133°
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Find x :
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Sum of adjacent angles on a straight line is 180.
∠ABY + ∠YBC = 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
x = 35
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Check if AC is parallel to DF :
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If AC is parallel to DF,
∠YBC = ∠BEF (Corresponding angles)
∠YBC = 2x + 50 = 2(35) + 50 = 120
∠BEF = 5x - 55 = 5(35) - 55 = 120
Since ∠YBC = ∠BEF, AC and DF are parallel.
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Answer: Since ∠YBC = ∠BEF, AC and DF are parallel.
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Answer:
$80.625
Step-by-step explanation:
$75 for the iPod times 0.075 = 5.625 which is the sales tax.
Then $75 (Cost of iPod) + 5.625 (Sales Tax) = $80.625 (Price of the iPod including the sales tax)
Sorry, if I am wrong. I tried my best and Hope this helps ;)
Answer:

Step-by-step explanation:
Square root of 81 is 9
Square root of 10 is fully simplified
7 x *cross multiply
-- = --
11 121
11x 847 *divide
--- = -----
11 11
x = 77