The sides of a regular polygon with a known interior angles can be found as follows:
Interior Angle = (n−2) × 180° / n
<h3 /><h3 /><h3>Regular polygon</h3>
A regular polygon is a polygon that have equal sides and equal angles.
A regular polygon has the following angles:
- interior angles
- exterior angles
According to the question, the interior angles are given. To know the number of sides of polygon can be calculated as follows:
Note the interior and the exterior angles add up to 180 degrees.
Therefore,
Interior Angle = 180° − Exterior Angle
Exterior angle = 360°/n
Interior Angle = 180° − 360°/n
n = number of sides
Finally,
- Interior angle = (n−2) × 180° / n
learn more on polygon here:brainly.com/question/7153502?referrer=searchResults
Answer:
Step-by-step explanation:
5/7 - 9/14 = (2 * 5)/(2 * 7) - (1 * 9)/(1 * 14) = 10/14 - 9/14 = (10 - 9)/14 = 1/14
Remark
Let the amount invest = x
(1/3 x) * 5/100 + (1/2 x) * 5.5/100 = 735 Multiply numerators and denominators together on each side of the plus sign.
5x/300 + 5.5x / 200 = 735
Multiply both sides of the equation by 600 to get rid of the denominators.
(5x/300)*600 + (5.5x/200)*600 = 735 * 600
(5x * 2) + 5.5x * 3 = 441000
10x + 16.5x = 441000 Combine the like terms on the left.
26.5 * x = 441000 Divide by 26.5 on both sides.
x = 441000/26.5
x = 16641.51 = invested amount <<<<< answer
Check
1/3 * 5/100 * 16641.51 = 277.36
1/2 * 5.5/100*16641.51 = 457.63
The total = 735 which is what it should be.
Answer:
x = -8
Step-by-step explanation:
-4(2x+3) = 2x+6-(8x+2)
Distribute
-8x-12= 2x+6-8x-2
Combine like terms
-8x-12 = -6x+4
Add 8x to each side
-8x-12 +8x = -6x+4+8x
-12 = 2x+4
Subtract 4 from each side
-12-4 = 2x+4-4
-16 = 2x
Divide each side by 2
-16/2 = 2x/2
-8 =x