Answer: The correct option is the third one. Angle 1 and Angle 2 are adjacent angles.
Step-by-step explanation: A brief explanation of Supplementary angles, Complementary angles, Equivalent angles and Adjacent angles would be very useful in answering this question.
Adjacent angles are two angles that are formed when a line cuts a vertex, thereby causing both angles newly formed to have the same vertex, and the same side(s). A vertex is the endpoint that is formed when two lines meet and form an angle. Both angles 1 and 2 do not have to two equal halves, but it is sufficient that they both are formed in the same vertex and they share the same side(s).
Supplementary angles are two angles that add up to 180 degrees. This is mostly found on straight lines, when another line cuts through the straight line, both angles formed are supplementary (angles on a straight line equals 180 degrees).
Two angles are called complementary when they both add up to 90 degrees. This is mostly observed in a right angled triangle, where one angle is always equal to 90 degrees then the other two angles must add up to 90 degrees and they are described as complementary (sum of angles in a triangle is equal to 180). The angles do not necessarily have to be next to each other (although sometimes they are next to each other). The question does not tell if the angle ABD is a right angle, so we cannot tell for sure that angle 1 and angle 2 are complementary.
Equivalent angles as the name implies are two angles that have the same measurement. This is more applicable to angles in different plane shapes (for instance angles in two congruent triangles). This does not apply to the description of the angles as stated in the question.
Answer:
The polar coordinates are as follow:
a. (6,2π)
b. (18, π/3)
c. (2√2 , 3π/4)
d. (2, 5π /6)
Step-by-step explanation:
To convert the rectangular coordinates into polar coordinates, we need to calculate r, θ .
To calculate r, we use Pythagorean theorem:
r = 
---- (1)
To calculate the θ, first we will find out the θ
' using the inverse of cosine as it is easy to calculate.
So, θ
' =
cos
⁻¹ (x/r)
If y ≥ 0 then θ = ∅
If y < 0 then θ = 2
π − ∅
For a. (6,0)
Sol:
Using the formula in equation (1). we get the value of r as:
r = 
r = 6
And ∅ =
cos
⁻¹ (x/r)
∅ =
cos
⁻¹ (6/6)
∅ =cos
⁻¹ (1) = 2π
As If y ≥ 0 then θ = ∅
So ∅ = 2π
The polar coordinates are (6,2π)
For a. (9,9/
)
Sol:
r = 9 + 3(3) = 18
and ∅ =
cos
⁻¹ (x/r)
∅ =
cos
⁻¹ (9/18)
∅ = cos
⁻¹ (1/2) = π/3
As If y ≥ 0 then θ = ∅
then θ = π/3
The polar coordinates are (18, π/3)
For (-2,2)
Sol:
r =√( (-2)²+(2)² )
r = 2 √2
and ∅ =
cos
⁻¹ (x/r)
∅ =
cos
⁻¹ (-2/ 2 √2)
∅ = 3π/4
As If y ≥ 0 then θ = ∅
then
θ = 3π/4
The polar coordinates are (2√2 , 3π/4)
For (-√3, 1)
Sol:
r = √ ((-√3)² + 1²)
r = 2
and ∅ =
cos
⁻¹ (x/r)
∅ =
cos
⁻¹ ( -√3/2)
∅ = 5π /6
As If y ≥ 0 then θ = ∅
So θ = 5π /6
The polar coordinates are (2, 5π /6)
Answer:
C) the function represented by the graph has a steeper slope and the function represented by the equation has a larger y-intercept.
Step-by-step explanation:
The equation is written in slope-intercept form, y=mx+b. m is the slope and b is the y-intercept. In this function, the slope is 2 and the y-intercept is 2.
Looking at the graph, the y-intercept is 1. Going from the y-intercept, if we go up 2, it does not go over quite 1 unit. Therefore the slope is steeper on the graph.
Hope I helped answer the question:)
Answer:
yea i have its kinda crazy
Step-by-step explanation:
Answer:
that is a I hope this helps you
