Hey there! I'm happy to help!
The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.
We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.
DIFFERENCE IN Y-VALUES
3-(-3)
3+3
6
DIFFERENCE IN X-VALUES
-2-3
-5
Now, we divide the two answers, giving us -6/5.
So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!
-3=-6/5(3)+b
-3=-3 3/5+b
We add 3 3/5 to both sides to isolate the b.
b=3/5
This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.
Now you can find the slope of a median! Have a wonderful day! :D
Answer:
Step-by-step explanation:
6
let's recall that the sum of all interior angles in a triangle is 180°.
an equi-lateral, equal sides, triangle has all sides that are equal.
sides that are equal will yield an equal opposite angle.
so if all sides are equal, all angles are equal, for a sum of 180°, that's only possible with 60°, 60° and 60° angles, and all of them are acute, none obtuse.
Assuming both vertical lines are parallel and assuming I'm supposed to find all the unmarked angles...
Angle C:
Supplementary Angles.
x+36=180
180-36=x
x=144
Angle B:
Corresponding Angles.
Angle B ≅ Angle C
144
Angle A:
360 degrees in a quadrilateral
36+144+81+x=360
261+x=360
x = 99
<em>Hope it helps <3</em>
Answer:
Each of them will get 3.375 inches of cookie.
Step-by-step explanation:
Rasputen and his three buddies are splitting a giant 18 inches cookie.
But they notice that
th of it is missing.
So, the actual length of the cookie is
inches.
If all the four of them get the same amount of the giant cookie then each of them will get
inches of cookie. (Answer)