Using a coordinate geometry approach, identify the coordinates of the vertex of the angle and the equations of the lines forming the two sides; choose an arbitrary point on each line and find the general equation of the line connecting them (the third side of your triangle); write the equation of the line that meets the conditions of angle bisection (that it is equidistant from each of the lines forming the two sides); solve simultaneously the equations for this line and for the third side.
If you are trying to do this as an absolute proof for any angle and triangle, your equations will be full of unknowns (x1, y1, m1, etc), and will need a lot of careful algebraic manipulation. If you have a specific triangle in mind, the presence of numbers makes the solution of the equations much simpler.
Of course, this is not the only method of proof available, but it is the simplest to describe as a general procedure without actually writing out the required proof!
<span>More intuitively, since the angle bisector must be midway between the two rays that form the adjacent sides of the triangle, it must cross any line which intersects those two rays, which the third side of the triangle must do. This is very hard to show as a proof without using diagrams.</span>
Answer:
Daryl = 9, Malik = 3, Terrance = 14
Step-by-step explanation:
We can use letters to represent each brother's name, so
D + M + T = 26
3M = D
D + 5 = T
then we can plug in the 3M in the third problem for D
3M + 5 = T
Then we can go back to the first problem and plug in 3M and (3M + 5)
3M + M + (3M + 5) = 26
4M + (3M + 5) = 26
7M = 21
M = 3
plug 3 in for M in the second equation:
3 x 3 = D
D=9
Then go back to the first equation:
9 + 3 + T = 26
12 + T = 26
T = 14
So T = 14
D = 9
and M = 3
We are given : 62 hundreds and 30 tens .
To find : the number in standard form.
Soltuion: We know hundreds represents times 100.
Also tens reprents times 10.
In order to find the values of 62 hundreds, we need to multiply 62 by 100.
In order to find the values of 32 tens, we need to multiply 32 by 10.
62 × 100 = 6200
32 × 10 = 320.
Now, we need to add those numbers above.
6200 + 320 = 6520.
In simple, we could also show as
62 hundreds and 30 tens = 62 × 100 = 30 × 10 = 6200+300 = 6520.
Therefore, standard form is 6520.
Full question plzz we need to know what the core is
