Answer: 7,-7
Step-by-step explanation: 7 squared is 7 times 7 which equals 49
-7 times -7 is also 49 bc the negatives cancel each other out
Probably uncomfortable,,,,
Answer:
Same-side Interior Angles theorem justifies ∠ 11 + ∠ 10 =180°
Step-by-step explanation:
To Prove:
∠ 11 + ∠ 10 =180°
Proof:
Consider lines are Parallel,then
Corresponding Angles are Equal
∴ ∠ 10 = ∠ 12 say (equation 1)
Now by Linear Pair postulate we have,
∴ ∠ 11 + ∠ 12 = 180° say (equation 2)
Now by replacing ∠12 by ∠ 10 from equation 1 in equation 2 we get
∴ ∠ 11 + ∠ 10 = 180°
Hence proved the above statement.
Answer:
(a) P = 2x + 2r + 2πr
(b) x = ½(P - 2r - 2πr)
(c) x = 123 feet
Step-by-step explanation:
See Attachment for sketch of the track
Solving for (a): Perimeter of the track
This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.
P = Perimeter of Rectangle + Perimeter of 2 Semicircles
P = 2(x + r) + 2 * πr
[Where r is the radius of both semicircles]
Open bracket
P = 2x + 2r + 2πr
Solving for (b): Formula for x
P = 2x + 2r + 2πr
Make x the subject of formula
2x = P - 2r - 2πr
Divide both sides by 2
x = ½(P - 2r - 2πr)
Solving for (c): the value of x when r = 50 and P = 660
Substitute the given values in the formula in (b) above
x = ½(P - 2r - 2πr)
x = ½(660 - 2 * 50 - 2π * 50)
x = ½(660 - 100 - 100π)
x = ½(560 - 100π)
Take π as 3.14
x = ½(560 - 100 * 3.14)
x = ½(560 - 314)
x = ½ * 246
x = 123 feet
Answer: 30, -36, 42
Step-by-step explanation:
So basically the pattern is just the next number that is a multiple of six, but every other number is negative. 6 is 6 times 1, -12 is 6 times -2, 18 is 6 times 3, -24 is 6 times -4, 30 is 6 times 5, -36 is 6 times -6, and 42 is 6 times 7