<LMP and <NMP are supplementary angles so sum = 180
<LMP + <NMP = 180
(-16x + 13) + ( - 20x + 23) = 180
-16x + 13 - 20x + 23 = 180
-36x + 36 = 180
-36x = 144
x = -4
<LMP = -16x + 13 = -16(-4) + 13 = 77
<NMP = - 20x + 23 = - 20(-4) + 23 = 103
Answer
<LMP = 77°
<NMP = 103°
All angles of a triangle have to equal 180 degrees. The top and bottom triangle are the same. So the first angle tells you 32 degrees. The second one has a little square which means 90 degrees. So 180 - 32 - 90 = 58.
So the angle A is 58. Since the top triangle and bottom triangle have the same angle measurement then angle C = 58 degrees.
As per the problem,
Rhonda bought a new laptop for $800.
The laptop depreciates, or loses, 20% of its value each year.
The value of the laptop at a later time can be found using the formula

Here we have
P=$800
r=20%=0.20
t=2 years
Substitute the values in equation (1) we get

The laptop be worth in two years will be $512.
Answer:
Slope: -2
y-intercept: -3 or (0, -3)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
6x+3y= -9
3y = -6x - 9
y = -2x - 3