Answer: Well if you were going to think of a circle you can divide it into 4 equal sizes in one of the is equal to two pentagons and a half. If you add all is equal to a loop full of pentagons [which makes 10 pentagons]. Because the ring is made out of regular pentagons, we can work out that each of the interior angles of each pentagon is 108* degrees. By extending the lines that two pentagons share, assuming they will all meet in the middle, it will create a triangle. As we know each angle of a [regular] pentagon is 108* degrees, we know the two base angles of the triangle would equal to 72** which leaves the top angle to be 36 degrees. As [the sum of] angles at a point is 360 degrees, and 36 is divisible by 360, it will make a complete ring. Also, as 360 ÷ 36 = 10, we know that the ring will be made out of 10 pentagons. as formula to calculate the the size of a interior angle of a polygon is (n×180−360)÷n (for n being the number of sides that the polygon has). because the triangle is made by extending the lines, and angles on a line is 180 degrees, 180−108 (an interior angle of a pentagon) =72.
Answer:
q= (5.5, 7)
Step-by-step explanation:
add the x-axis together then divide by two and do the same with the y-axis
Answer: A & C
<u>Step-by-step explanation:</u>
HL is Hypotenuse-Leg
A) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH
a leg from ΔABC ≡ a leg from ΔFGH
Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH
B) a leg from ΔABC ≡ a leg from ΔFGH
the other leg from ΔABC ≡ the other leg from ΔFGH
Therefore LL (not HL) Congruency Theorem can be used.
C) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH
at least one leg from ΔABC ≡ at least one leg from ΔFGH
Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH
D) an angle from ΔABC ≡ an angle from ΔFGH
the other angle from ΔABC ≡ the other angle from ΔFGH
AA cannot be used for congruence.
Answer:
Multiply both sides by 11 to isolate the variable.
Step-by-step explanation:
a = 55
Answer:
3x + 4 = 12 :- x = 8 / 3
Step-by-step explanation:
3x + 4 = 12
Move all terms not containing x to the right side of the equation.
Subtract 4 from both sides of the equation.
3x = 12 - 4
Subtract 4 from 12.
3x = 8
Divide each term by 3 and simplify.
Divide each term in 3x = 8 by 3.
3x / 3 = 8 / 3
Cancel the common factor of 3.
Divide x by 1.
x = 8 / 3
The result can be shown in multiple forms.
Exact Form:
x = 8 / 3
Decimal Form:
x = 2.6
Mixed Number Form:
x = 2 2/3
