Answer:
A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:
((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.
Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.
And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.
This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.
For instance, the factors<span> of 15 are 3 and 5, because 3×5 = 15. Some </span>numbers<span> have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A </span>number<span> that can only be factored as 1 times itself is called "prime".</span>
Ok this inequality tells you the number of devices you can have before the new plan costs more than the old plan. The new plan expression is $4.50x + $94m = y ( total cost). The old plan is $175m = y (total cost). You can see m (number of months) in both equations, you don't need it this time since we're going to to compare both to one month. Since they're both equal to y you can make them equal to each other. $4.50x + $94 = $175. Now you want to figure when the new plan is less than the old plan you switch the equal sign for a less than sign. $4.50x + $94 < $175; this will help you find the inequality you want. From there just use algebraic steps to find that x has to less than 18 or
x < 18.
Answer:
Discount= $4.94
Final Price= $28.04
Step-by-step explanation:
Discount = original price x discount / 100
Discount= 32.99 x 15/ 100
Discount= 494.85/ 100
You save= $4.9485 ($494)
Final Price= original price - discount
Final Price= 32.99 - 4.9485
Final Price= $28.04
Area for a triangle is (1/2) bh or bh/2
So using this info, b = 1.5 m and h = x and A = 1.5 m^2
A = bh/2
1.5 = 1.5x/2
Multiply both sides by 2 to get rid of fraction ... 3 = 1.5x
Divide both sides by 1.5 ... 2 = x so x= 1.5 m
