Step One
Figure out the interior angle
25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.
180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is
interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)
154.2857 / 180 = 1 - 2/n)
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
Answer: Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
Answer:
b g and e
Step-by-step explanation:
Sum of n terms = a1 (r^n-1/ (r-1)
Sum of first one = 3 * (4^5 - 1) / 3 = 1023
.. 2nd = 5 * (6^2 - 1) / 5 = 35
.. 3rd = 5 ^4 - 1 / 4 = 156
.. 4th = 4 * (5^4 - 1) / 4 = 624
So in increasing order its 2nd, 3rd, 4th and first.
Area is the product of length and width. If you assume the dimensions are integers, you are looking for factors of 117 that differ by 4.
117 = 1×117 = 3×39 = 9×13
These last two factors differ by 4, so we know the dimensions of the barn are ...
... 9 ft wide by 13 ft long