Answer:
Part 1) The length of the apothem is 13.32'
Part 2) The perimeter of the decagon is 86.5'
Step-by-step explanation:
we know that
A regular decagon has 10 equal sides and 10 equal interior angles
A regular decagon can be divided into 10 congruent isosceles triangle
(they are isosceles since their two sides are the radii of the polygon and the unknown side is the side of the polygon)
The vertex angle of each isosceles triangle is equal to

To find out the side length of the decagon, we can use the law of cosines
so

where
c is the length side of decagon
a and b are the radii
we have

substitute the values




To fin out the perimeter of decagon multiply the length side by 10
so

To find out the apothem we can apply the Pythagorean Theorem in one isosceles triangle
see the attached figure to better understand the problem

substitute the given values

solve for a


Answer:
x= 8a+ 8g
Step-by-step explanation:
x/8 -g = a
x/8 = a+g
× 8
x= 8a+ 8g
3. constant - D. a numerical value
2. coefficient - A. the constant preceding the variables in a product
4. expression -E. a mathematical phrase....
5. variable - B. a letter... representing an unkown
1. algebraic expression - C. a mathematical expression...
hope this helps
12 gallons makes 96 pints. There are 8 pints in each gallon.
Answer:
If you solve by substitution then the answer for the first one would be (−7,−7) or x=−7,y=−7 and the second has no solution
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Please tell me if this is right