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
We know that
the graphic has two intervals
x>1------> (1,∞)
equation of second order
and
x<=1------> (-∞, 1]
equation of a line
therefore
<span>The only option that meets these requirements is option A
</span>
the answer is
the option A
Answer:
<em>B is the correct answer</em>, The first choice (which you chose) is the incorrect answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
At the point where two line cut across, the vertically opposite angles formed are equal. This means that
2x degrees = 78 degrees
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = 78/2
x = 39
Checking,
The sum of the angles on a straight line is 180 degrees.
180 - 78 = 102 degrees
2x + 102 = 180
2x = 180 - 102 = 78
x = 78/2 = 39
Answer:
F = $11,421.90
Final value after 5 years F = $11,421.90
Complete question;
You purchased a vehicle for $32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you finally have it paid off
Step-by-step explanation:
Given;
Initial value P = $32,000
Depreciation rate r = 18.62% = 0.1862
Time t = 5
Final value = F
Using the compound depreciation formula;
F = P(1 - r)^t
Substituting the values;
F = $32,000(1 - 0.1862)^5
F = $11,421.90
Final value F = $11,421.90
