Step-by-step explanation:
The interior angle of a polygon is given by
The exterior angle of a polygon is given by
where n is the number of sides of the polygon
The statement
The interior of a regular polygon is 5 times the exterior angle is written as
Solve the equation
That's
Since the denominators are the same we can equate the numerators
That's
180n - 360 = 1800
180n = 1800 + 360
180n = 2160
Divide both sides by 180
<h3>n = 12</h3>
<h2>I).</h2>
The interior angle of the polygon is
The answer is
<h2>150°</h2>
<h2>II.</h2>
Interior angle + exterior angle = 180
From the question
Interior angle = 150°
So the exterior angle is
Exterior angle = 180 - 150
We have the answer as
<h2>30°</h2>
<h2>III.</h2>
The polygon has 12 sides
<h2>IV.</h2>
The name of the polygon is
<h2>Dodecagon</h2>
Hope this helps you.
Answer:
12·(2/3 + x) = 10 2/5 --> x = 1/5
Annie add 1/5 pints of sparkling water per person.
Answer:
D.
Step-by-step explanation:
To see if a line is parallel to y = -(2/3)x + 8 you need to check if the coefficients at y and x are of the same ratio. This immediately removes answers A and C, because of the wrong sign at x compared to y.
What's left is to see which of the answers B and D passes through (4, -5) by inputting x = 4 and y = -5
B.
left = -5 - 5 = -10
right = -(2/3)(4 + 4) = -16/3
So it's D. Let's verify:
D.
left = -5 + 5 = 0
right = -(2/3)(4 - 4) = 0
Checks out.
Answer:
6
Step-by-step explanation:
6 cubed is 216
Answer:
8 and 14
Step-by-step explanation:
let the 2 numbers be x and y with x > y
We can model the situation using the following 2 equations
x + y = 22 → (1)
3x - y = 34 → (2)
adding the equations term by term will eliminate the term in y
(x + 3x) + (y - y) = (22 + 34)
4x = 56 ( divide both sides by 4 )
x = 14
substitute x = 14 into (1)
14 + y = 22 ⇒ y = 22 - 14 = 8
