When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the dot if filled in.
When the sign is < or >, the dot is not filled in/open circle.
15 > m
[15 is greater than m, or m is less than 15]
Since m is less than 15, the arrow is going to the left (the numbers to the left are less than 15)
8) The figure is a heptagon. This means the sum of the interior angles would be 180(7-2) = 5 * 180 = 900. Then this means you can say that the sum of all angles would equal 900.
(133 + 106 + 120 + 133 + (13 - 9)) + (m + m + m) = 900
-------Combine Like terms----------
496 + 3m = 900
-------Subtraction------------
3m = 404
--------Division--------
m = 404/3
If the answer doesn't seem right, just plug it in!
496 + 3(404/3) = 900
496 + 404 = 900
900 = 900
10) Same thing. The sum of the interior angles in a pentagon are 540.
(122 + 90 + 88 + 96) + k = 540
396 + k = 540
k = 144
11) The angle supplementary to the angle which measures 138 is 42. The sum of all the interior angles of a quadrilateral is 360. Let us call the missing INTERIOR angle x.
(104 + 98 + 42) + x = 360
244 + x = 360
x = 116
So the missing EXTERIOR angle is 180 - 116 which is 64.
12 is a bit confusing without showing you sorry :(
Answer:
Step-by-step explanation: