The angles that form similarity are those that are vertically opposite and 2 pairs that are equal because the for a Z formation.
Since <LPM = <ONM then
Cross multiply
12*(5x - 10) = 16*(4x - 9) Remove the brackets on both sides.
60x - 120 = 64x - 144 Subtract 60x from both sides.
- 120 = 64x - 60x - 144
-120 = 4x - 144 Add 144 to both sides.
-120 + 144 = 4x
24 = 4x Divide by 4
24/4 = x
x = 6
0=x3-3x2
x3-3x2=0
x2•(x-3)=0
x=0
For this case what you should know is that the slope of the line can be calculated as:
Tan x = sin x / cos x
The lines x = 2 and x = 3 have an angle of 90 degrees with respect to the x axis:
Tan 90 = sin 90 / cos 90 = 1/0 = inf
Therefore, both lines have a rate of change that tends to infinity.
answer
Both lines have the same slope (infinity) Both are greater than m = -1
