Answer:
5.25
Step-by-step explanation:
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
Sec is 1/cos so sec -120 is 1/cos -120 which is -2
Its intersection would be at the centre of the sphere, each line being perpendicular to the other, probably
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
