Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer:
3^x -2x +14
Step-by-step explanation:
I will assume you mean 3^x in the function f(x)
f(x) = 3^x+ 10
g(x) = 2x - 4
(f - g)(x) = 3^x+ 10 - (2x - 4)
Distribute the minus sign
= 3^x+ 10 - 2x + 4
= 3^x -2x +14
The unit rate for the nearest cent per once for each size is 0.24 : 0.19
