About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.


Simplify

Subtract 144 from both sides

divide both sides by 2

complete the square

take the square root of both sides.

subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56
Answer: 1215 miles
Step-by-step explanation:
405 miles in 5 hours is 81 mph so you multiply that mph by the amount of hours you want (15) so 81 x 15 = 1215
It was $6.00 per pound. So 2 pounds would be $12. But there is still that .6 of a pound left. If we know 1 pound costs $6, then we know 1/10th of a pound will cost $0.60. So 6 x .60 = 3.60. Add 12 and 3.60, and you get 15.60 for 2.6 pounds of granola at the old price.
Answer:
m∠Q = 109°
m∠QRT = 109°
x = 4
Step-by-step explanation:
1). "Opposite angles of a parallelogram are equal"
By this property,
m∠Q = m∠S = 109°
2). "Opposite sides of a parallelogram are parallel and equal in measure"
By this property,
RQ║ST and diagonal RT is a transversal line.
m∠QRT = ∠SRT = 30° [Alternate interior angles]
3). "Opposite sides of a parallelogram are parallel and equal in measure"
RS = QT
2x = 8
x = 4
Ok It depends upon what the order of the terms might be
If we consider that the positive mixed number is the first term and the negative mixed number is the second term and we consider "difference" to be subtraction.....then the result is positive
For example
(3 + 1/2) - [ -(1 + 1/2)] =
(3 +1/2) + (1 + 1/2) = 5 since subtracting a negative results in a positve
But....if we had the reverse order with the same operation, we would have
-(1 + 1/2) - (3 + 1/2) and the result is - 5
Hence.......I would go with "sometimes"