Answer:
80° , 100°, 80°
Step-by-step explanation:
∠ 1 and ∠ 2 form a straight line and sum to 180° , then
2x + 40 + 2y + 40 = 180
2x + 2y + 80 = 180 ( subtract 80 from both sides )
2x + 2y = 100 → (1)
∠ 1 and ∠ 3 are vertical angles and are congruent , then
2x + 40 = x + 2y ( subtract x from both sides )
x + 40 = 2y ( subtract 40 from both sides )
x = 2y - 40 → (2)
Substitute x = 2y - 40 into (1)
2(2y - 40) + 2y = 100
4y - 80 + 2y = 100
6y - 80 = 100 ( add 80 to both sides )
6y = 180 ( divide both sides by 6 )
y = 30
Substitute y = 30 into (2)
x = 2(30) - 40 = 60 - 40 = 20
Thus x = 20 and y = 30
Then
∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°
∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°
∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°
Answer:
<h2>The solution is -9 < x < 17.</h2>
Step-by-step explanation:
|x-4|<13.
The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.
Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.
The highest wage a player can possibly earn is is mathematically given as
y=$285000
<h3>
Maximum possible salary</h3>
Question Parameters:
a football association team has 22 players each.
association state that a player must be paid 15,000 and the total of all players cannot exceed 600,000
Therefore, we presume that the all 22 receives minimum wage
x=22*15000
x=330000
Hence, if one player is to earn the highest it will be
y=600000-(330000-15000)
y=285000
Hence highest wage a player can possibly earn is
y=$285000
For more information on Arithmetic
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Answer: (total amount paid - $40) / 0.05
Step-by-step explanation:
Given the following :
Monthly fee = $40
Additional fee = $0.05 per minute on phone
Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :
Total amount to be paid = monthly fee + additional fee
Additional fee = $0.05 × n
Where n = number of minutes on phone
Hence,
Total amount paid = $40 + $0.05n
If the amount paid is known, the number of minutes on phone can be calculated thus;
(Total amount paid - monthly fee) = $0.05n
n = (Total amount paid - monthly fee) / fee per minute on phone
(total amount paid - $40) / 0.05
