Consider the center of the nonagon. If we join the center to all the vertices, the central angle of 360°, is divided into 9 equal angles, each with a measure of:
360°/9=40°
So to a nonagon rotated 40°, clockwise or counterclockwise, is indistinguishable from the original one.
similarly if we rotate 80 ° c.wise or c.c.wise
in general, a nonagon has a rotational symmetry of 40°n,
where n∈{...-3, -2, -1, 0, 1, 2, 3}...
where 40°n, for n negative, means we are rotating clockwise.
Answer: any angle which is a multiple of 40°
Answer:
18/5
Step-by-step explanation:
5.4/12 = 1/8 is equivalent to (5.4)(1/12) = (z/8), or
(54/10)(1/12) = z/8.
The LCD is (10)(8)(12), or 120.
Mult. both sides by 120 yields 54 = 15z.
Dividing both sides by 15, we get z = 54/15 = 18/5 = z
Answer:
54 mph
Step-by-step explanation:
Answer:
The answer is x = 14 the more expensive scarf
Step-by-step explanation:
x + y = 25
3 + y + y = 25 (x = 3 + y)
3 + 2y = 25
2y = 25 - 3
2y = 22
y = 22/2
y = 11
x = 3 + y
x = 3 + 11
x = 14 (the more expensive scarf)
(x,y) ; (14,11)
Applying the leg rule, and solving algebraically, the lengths are determined as:
JG = 9
HJ = 12
<h3>What is the Leg Rule?</h3>
The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.
Find length of JG using algebraic solutions and the leg rule:
Let JG = x
Hypotenuse = x + 16
Leg = 15
Part = x
Therefore:
(x + 16)/15 = 15/x (leg rule)
Cross multiply
x(x + 16) = (15)(15)
x² + 16x = 225
x² + 16x - 225 = 0
Factorize
(x + 25)(x − 9) = 0
x = -25 or x = 9
The length of JG (x) cannot be negative, therefore, the length of JG = 9.
Find length of JG using algebraic solutions:
Let HJ = y
Based on the altitude theorem, we would have:
y = √(16 × JG)
Substitute
y = √(16 × 9)
y = √(144)
y = 12
Therefore, the length of HJ is: 12.
Learn more about the leg rule on:
brainly.com/question/25016594
