Answer:
18+17=35
Step-by-step explanation:
Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
Answer:
5.3
Step-by-step explanation:
a² + b² =² c² the Pythagorean theorem
RQ² + RS² = QS² Solve RS
6² + RS² = 8²
RS² = 64 -36
RS² = 28
RS = √28 28 is slightly > 25 and since √25 =5
RS = 5.3 actually 5.2915 to a few more significant digits
Hope you understand the solution. Call my attention if you need any help
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.