Explanation:
Here's one way:
Choose a point P interior to the polygon and draw a segment from that point to each vertex. These segments will divide an n-sided polygon into n triangles. These will have a total angle measure of ...
total interior angles of n triangles = 180°×n
The n angles having a vertex at point P have a sum of 360°. Subtracting this total from the total of all triangles gives the sum of interior angles around the perimeter of the polygon: 180°×n - 360° = 180°×(n -2).
Answer: for blue its 1/5 or 2/10 while for its 4/9 for green
Step-by-step explanation: since the bag is full you have all 10 marbles. if you put 10 to the 2 that you have it would leave you with 2/10. now simplify that by dividing it by a number that goes into both. in this case both can be divided by 2 so that leaves 2/2 which is 1 and 10/2 which is 5. 1/5 would be the fraction. now you have 9 marbles after you take one and there are 4 green marbles. since there is no number that can divide into both 4 and 9 evenly we just put it as 4/9 having your answer
Answer:
neither
Step-by-step explanation:
For lines to be parallels the slopes must be equal, for the lines to be perpendicular the lines have to be inverse reciprocals meaning if you have a slope of 1/2X then the perpendicular line must be -2X
Answer:
90 miles
Step-by-step explanation:
15 miles/10 minutes = x miles/60 minutes
10*6=60 so 15*6=90
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The length is
The width is
Generally let assume that (k ft) was turned up on each side hence the remaining width is
Now the capacity is also the volume it can hold which is mathematically represented as
At maximum or minimum
=>
=>
Now to see if the value obtained is positive or negative we differentiate a second time
So
at k = 0,25 ft
since a negative value is obtained then k is the maximum value
converting to inches