This is a lot of calculation.
So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.
Now you just add up all angles and simplify the equation:
900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)
900 = <span>25x + 225
Now it's just regular algebra equation. You can solve for x:
675 = 25x
x = </span>27
So the value of x is 27
Answer:
9.916...
Step-by-step explanation: (The "6" is repeating)
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
This gives us a mixed number-fraction: 9 and 11/12.
If we then turn this into a simplified fraction, then it becomes 119/12. Turn <em>that</em> into a decimal by dividing the numerator by the denominator.
This gives us our answer of 9.916...!!! <em>Hope that helps!</em>
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the following Double Angle Identities: cos 2A = 1 - 2sin²A
sin 2A = 2sinA · cosA
<u>Proof LHS = RHS</u>
y cos 2A + x sin 2A = y
x sin 2A = y - y cos 2A
x sin 2A = y(1 - cos 2A)
This is a TRUE statement since it was given that 
