Answer:
200,000
Step-by-step explanation:THIS IS THE CORRECT ANSWER
<h3>
Answer:</h3>
90°
<h3>
Step-by-step explanation:</h3>
The polygon has 7 sides, so the total of internal angles will be ...
... 180°×(7 -2) = 900°
The sum is then ...
... x + 146° +122° +142° +140° +110° +142° = 900°
... x + 802° = 900° . . . . . simplify
... x = 98° . . . . . . . . . . . . .subtract 802°
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<em>Comment on angle measure formula</em>
The usual formula for computing the total of internal angles of a convex polygon with n sides is ...
... total angle measure = (n -2)×180°
This can be simplified from the fact that the sum of external angles is always 360°. That is, for internal angles a1, a2, ..., an, the sum of external angles is ...
... (180° -a1) +(180° -a2) +... +(180° -an) = 360°
... n×180° -(a1 +a2 +... +an) = 360° . . . . . . collect terms
... n×180° -360° = (a1 +a2 +... +an) . . . . . . add ∑ak -360°
... 180°×(n -2) = a1 +a2 +... +an . . . . . . . . . factor out 180°
For this you would want to break this figure up with familar shapes. You can do two triangles and one big rectangle.
First triangle:
(3)(2)(1/2)= 3 feet squared
Second Triangle:
(3)(4)(1/2)= 6 feet squared
Rectangle:
(11)(3)= 33 feet squared
Now you add:
33+3+6= 42 feet squared
So, for this hole you will need 42 feet squared of outdoor carpet
F(x) = -5x + 1
f(-3) = ?
subtitute x = -3 to the equation of the function:
f(-3) = -5 · (-3) + 1 = 15 + 1 = 16
4.5(4-x) + 36 = 202 - 2.5(3x + 28)
Distributive property
18 - 4.5x + 36 = 202 - 7.5x - 70
Combine like terms
-4.5x + 54 = -7.5x + 132
Add 7.5x to both sides
3x = 78
Divide both sides by 3
x = 26
