x = 36
pentagon has 5 sides . The formula n/360 gives you the measure of each angle in a regular polygon. So in this case n ( stands for number of sides) is 5. Sum of exterior angle of a any polygon is 360. The measure of 1 exterior angle is given. It is 2x.
Now using ALGEBRAIC EXPRESSIONS we can write it as 5/360 = 2x
which is 72=2x
which is 72/2 = x
which is 36 = x
so x = 36.
Answer:
yes
Step-by-step explanation:
Answer:
376 units and 1,857 units
Step-by-step explanation:
The computation is shown below:
The number of units that company sells to break even is
Let us assume the number of units be x
$16,000 + $8.20x = $50.75x
$16,000 = $50.75x - $8.20x
$16,000 = $42.55
x = $16,000 ÷ $42.55
= 376 units
Now in order to make the profit the number of units sold is
$50.65x - ($16,000 + $8.20x) = $95,000
$50.65x - $16,000 - $8.20x = $95,000
$42.55x = $95,000 - $16,000
$42.55x = $79,000
x = $79,000 ÷ $42.55
= 1,857 units
Answer:
Step-by-step explanation:
The need is to find the area of the elongated plus sign inside the rectangle. The area of the rectangle itself is not needed. That elongated plus sign is where we will run into trouble. The center of that plus sign is included in both the vertical strip and the horizontal strip. So when we go to find the area of the plus sign, we include the center in one or the other, NOT BOTH. I included the area in the vertical strip so I eliminated it in the horizontal strip, creating 2 shorter strips on either side of the center.
The area for the vertical strip, including the center:
A = 3 * 26 (3 is the width and 26 is the length)
A = 78 square meters
Now for the horizontal strip...
The horizontal strip minus the center is
14 - 3 = 11; divide that 11 in half and we get the length of each short horizontal strip on either side of the center to be 5.5 meters long. Therefore, each short strip measures 5.5 (we have 2 of them).
A = 3(5.5) + 3(5.5) and
A = 16.5 + 16.5
A = 33
The sum of the long vertical and the 2 shorter horizontal areas is
78 + 33 = 111
Therefore, the total area of the colored portion is 111 square meters.
