The answer to this problem is 6.28.
Answer:
where is the number of weeks
Step-by-step explanation:
Initial money available with Tom = $105
Allowance given to Tom every week = $25
To find:
Equation for money available with Tom given a number of weeks.
Money available with Tom after first week = $105+ $25 = $130
Money available with Tom after second week = $130+ $25 = $155 OR 105+ 2 25
Money available with Tom after third week = $155 + $25 = $180 OR 105+ 3 25
and so on.
Money available with Tom after weeks = $105 + $25
Therefore, the equation is:
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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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