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
In order to solve this equation, let's write it out in number form:
-3 - x = -10
In order to isolate 'x' we need to ensure that there is only 'x' on one side. We can get rid of the -3 by adding 3 to both sides:
-3 + 3 - x = -10 +3
-x = -7
Because there are negatives on both sides, you can simply cancel them out:
x = 7
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
I think the one you chose is correct but I am not sure tho
