Answer: B -4
Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.
Hello from MrBillDoesMath!
Answer: 3
Discussion:
The perimeter of a polygon is the sum of the side lengths.
Perimeter of top polygon is (x+2) + 2x + (x + 2) + (4x + 1) = 8x + 5
Perimeter of bottom triangle is 4x + 2x + (3x+2 ) = 9x + 2
The perimeters are the same when
8x + 5 = 9x + 2
Subtract 8x from both sides:
5 = (9x - 8x) + 2 or
5 = x + 2
Subtract 2 from each side to get x = 3:
5 -2 = 3 = x
The perimeter of either figure is 29
Regards, MrB
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
<u />
<u>Proof LHS → RHS</u>
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A 
Seven add five is 12 . A clock has four quarters , the first quarter is fifteen minutes.
Therefore, 5 1/5 hours after 7:00 = 12:15
Answer: 5 8 7 9 5 6
Step-by-step explanation:
Because you go by which is closer to the denominator