Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
Answer:
44ft^2
Step-by-step explanation:
Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)
3 x 2 = 6 ft^2
since there's two rectangles you end up 6 + 6 so you get 12 ft^2
then 4 x 8 = 32 ft^2
add 32 and 12, get 44 ft^2
Answer:
C, 2/5
Step-by-step explanation:
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Answer: $787 was originally borrowed.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
Total amount = $1181.05
Interest = total amount - principal
I = 1181.05 - P
R = 15%
T = 1 year
Therefore,
1181.05 - P
Therefore,
1181.05 - P = (P × 15 × 1)/100
1181.05 - P = 0.15P
P + 0.15P = 1181.0
1.5P = 1181.05
P = 1181.05/1.5
P = $787
