<h3>
Answer: 20 sides</h3>
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Work Shown:
x = exterior angle
9x = interior angle
interior + exterior = 180
9x+x = 180
10x = 180
x = 180/10
x = 18
n = number of sides
n = 360/x
n = 360/18
n = 20
There are <u>20</u> sides to the regular polygon.
Side notes:
- The formula to determine n only works for regular polygons.
- A polygon with 20 sides is known as an icosagon.
- Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.
Answer:
x= -1
y= 1
Step-by-step explanation:
Set both equations equal to each other
2x+3=x^2+3x+3 then solve for x
2x=x^2+3x the 3 on either side cancel out
-x=x^2
-1=x
Then plug -1 in for one of the equations to solve for y
Y=2(-1)+3
Y=1
To my personal way of thinking, 'translate' is just a fancy word for 'move'.
When a figure is translated on a coordinate grid, each point on the pre-
image moves to some other point with different coordinates, but the
move can't change any lengths or angles in the figure. After the move,
the new image is congruent to the pre-image, and in the same position.
Answer:
triangle SAT is congruent to triangle SAO, because of SAS congruence criterion
given angle AST = angle ASO
ST = SO
SA = SA (common side)
therefore using the two sides and the angle included, triangle SAT congruent to triangle SAO.
Longest side = 45 m
5/10 = 45m
1/10 = 9m
10/10 = 90 m.
the perimeter is 90m