Answers:
- In the top row, the first and third polygons are regular polygons.
- In the bottom row, only the first polygon is a regular polygon
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Explanation:
A regular polygon must have all sides of equal length. Also, all angles must be the same measure. This applies to the equilateral triangle in the upper left corner, and the square in the upper right corner. Each angle of the square is 90 degrees even though your teacher didn't use right angle markers.
The middle figure in the top row is not a regular polygon because the sides are not all the same length. Also, the angles are different.
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In the bottom row, only the first figure is a regular polygon for similar reasons mentioned earlier. The second figure is not a regular polygon because this figure is concave. Only convex polygons can be regular.
The third figure in the bottom row is not regular because one side is longer than the others.
Answer: N=-4
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-4n - 9 = -1 • (4n + 9)
Equation at the end of step
2
:
-3 • (4n + 9) - 21 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-12n - 48 = -12 • (n + 4)
Equation at the end of step
4
:
-12 • (n + 4) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : n+4 = 0
Subtract 4 from both sides of the equation :
n = -4
One solution was found :
n = -4
I hope this helps you
(1-cosx)(1+cosx)=1+cosx-cosx-cos²x=1-cos²x=sin²x
sin²x
____
cos²x
tg²x
Answer:
∠EGF = 65°
Step-by-step explanation:
Since EF = EG the triangle is isosceles and the base angles are equal, that is
∠EGF = ∠GEF
∠EGF = 
= 
= 65°
Answer:
11/15 < 4/5
Step-by-step explanation:
1. 5/6 = 10/12, so the first answer is not correct
2. 1/4 = 4/16, so the second answer is not correct
3. 3/4 = 9/12 and 4/6 = 8/12, so the third answer is not correct
4. 4/5 = 12/15 > 11/15, so this answer is correct
