Answer:
The correct choice is (0,-3)
Step-by-step explanation:
To convert from polar coordinates to rectangular coordinates, we use the parametric equations:
and 
The point given to us in polar coordinates is
.
where 
and 
and 
and 
The correct choice is (0,-3)
Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
Answer:
D. (2x + 35)° = 47°
Step-by-step explanation:
If it is true the angle UOW and angle XOV are vertical angles, they must be congruent and congruent angles have the same angles. This means that in order for UOW and XOV to be vertical angles they must share the same angle.
Give you: (2x + 35)° = 47°
5/7m - 2 - 6/7m = -13
5/7m - 6/7m - 2 = -13
-1/7m - 2 = -13
-1/7m = -11
-m/7 = -11
-m = -77
m = 77