Answer: the polygon has 20 sides.
Step-by-step explanation:
The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
if the sum of the measures of the interior angles is 3960
degrees. This means that
(n - 2) × 180 = 3960
Expanding the brackets by applying the distributive property, it becomes
180n - 360 = 3960
180n = 3960 - 360
180n = 3600
Dividing both sides by 180, it becomes
n = 3600/180
n = 20
Both sides are symmetrical by the length and the shape
You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you
... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10
... 1/9x > -2 . . . . . . collect terms
Now, you can multiply by 9 to see the condition on x.
... 9(1/9x) > -2(9)
... x > -18
On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.
On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).
Answer:
Yup
Step-by-step explanation:
Nice!!!!
This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplified form in the box.