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Answer:
x = (√2)/2
Step-by-step explanation:
The diagonal is √2 times the side length (x), so ...
1 = x√2
√2 = 2x . . . . . multiply by √2
(√2)/2 = x . . . . divide by 2
The side length x is (√2)/2.
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.
Let x be the amount of one of Derek's withdrawals
Each of John's withdrawals was $5 more than each withdrawal that Derek made.
x + 5 is t the amount of one of John's withdrawals
Derek made 7 withdrawals
So amount withdraw 7 times = 7x
John made 5 withdrawals
So amount withdraw 5 times = 5(x+5)
Both Derek and John withdrew the same amount of money in the end
(A)7x = 5(x+5)
(B) Solve for x
7x = 5x + 25
Subtract 5x from both sides
2x = 25
Divide by 2
x = 12.5
(C) check your solution
we plug in 12.5 for x in 7x= 5x + 25
7(12.5) = 5(12.5) + 25
87.5 = 62.5+ 25
87.5 = 87.5
(D) Each brother withdrawal 87.5 dollars
If you have a right triangle and one angle in the triangle is 45 degrees, the other would have to be complementary (an angle that adds up to another to form a right angle) so the other angle would have to be 45 degrees to make that a right angle 90 degrees. So complementary angles are two angles that add up to equal 90 degrees.
Answer: Yes , there is a proportional relationship between his earnings and the number of newspapers Alec delivers.
Step-by-step explanation:
Given statement :Alec ear 6 for every 3 newspapers he delivers.
As Alec deliver 3 newspaper, he will earn $6 per newspaper.
As he increases delivering newspaper, his earning will also increases.
Hence, there is a proportional relationship between his earnings and the number of newspapers Alec delivers.
