Answer:
(9/5, 8/5)
Step-by-step explanation:
First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.
y = 2x - 2
y = 1/3x + 1
Then you do 2x - 2 = 1/3x + 1
Then you do some maths and you get 9/5, and 8/5
For a better understanding of the solution given here please go through the diagram in the file attached.
To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."
Thus, in our question, we will have:

The above equation can be rearranged as:
...(Equation 1)
If we have a proper look at the denominator which is
, we note that in
, 
Thus, (Equation 1) wil give us:

<u>Therefore, LB= 12 feet</u>
Answer:
sin = opposite / hypotenuse
cos = adjacent/hypotenuse
sin U = 4/5
cos U = 3/5
sin T = 3/5
cos T= 4/5
Answer:
20) yes
21) -1
22) 1
23) -4
Step-by-step explanation:
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5