Answer:
x=10
Step-by-step explanation:
We can use the angle bisector theorem to solve this problem
8 12
-------- = ---------
x+4 2x+1
Using cross products
8(2x+1) = 12(x+4)
Distribute
16x+8 = 12x+48
Subtract 12x from each side
16x -12x +8 = 12x-12x +48
4x +8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
4x/4 = 40/4
x=10
Given:
A line passes through (1,-2) and is perpendicular to
.
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.

Slope of this line is



Product of slope of two perpendicular lines is -1.



Now, slope of required line is
and it passes through (1,-2). So, the equation of line is

where, m is slope.





Therefore, the equation of required line is
.
Answer:
Area = 1500 
Step-by-step explanation:
Area= height ×(Base 1 +base 2)
Area = 20 × (40+35)
Area = 20×75
Area = 1500 
The answer to t is t= 21/2