Answer: D. Cannot be determined.
If Angle 3 were not included, the answer would be A, 360°
Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.
Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°
Angles 1 and 2 are also supplementary, another 180°
But we don't know the measure of angle 3, so getting an exact sum is impossible here.
Answer:
15/22
Step-by-step explanation:
Answer: x^2 + y^2 -10y = 0
Step-by-step explanation:
Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.
r= 10sin(θ)
Remember that:
x= r × cos(θ)
y= r × sin(θ)
r^2= x^2 + y^2
Multiply both sides of the equation by r. This will give:
r × r = 10r × sin(θ)
r^2 = 10r × sin(θ)
x^2 + y^2= 10r × sin(θ)
Because y= r × sin(θ), we can make a substitution. This will be:
x^2 + y^2= 10y
x^2 + y^2 -10y = 0
The above equation is the Rectangular coordinate equivalent to the given equation.
Area of triangle = base x height x 1/2
Area of the triangle:
= 12 x 15 x 1/2
= 180 x 1/2
= 90 units^2
50=30+3x
(Subtract 30 from both sides)
20=3x
(Divide each side by 3)
6.67=x
She would need to sell 7 plants per day if she wanted to make at least $50 a day if she took the second deal